SELECT 
  cscart_products.* 
FROM 
  cscart_products 
WHERE 
  cscart_products.product_id IN (
    796, 801, 802, 617, 627, 630, 674, 844, 
    1091, 1092, 1588, 571
  )

Query time 0.00072

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "28.81"
    },
    "table": {
      "table_name": "cscart_products",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "product_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 12,
      "rows_produced_per_join": 12,
      "filtered": "100.00",
      "index_condition": "(`eshopuga_upgr_4122`.`cscart_products`.`product_id` in (796,801,802,617,627,630,674,844,1091,1092,1588,571))",
      "cost_info": {
        "read_cost": "26.41",
        "eval_cost": "2.40",
        "prefix_cost": "28.81",
        "data_read_per_join": "71K"
      },
      "used_columns": [
        "product_id",
        "product_code",
        "product_type",
        "status",
        "company_id",
        "list_price",
        "amount",
        "weight",
        "length",
        "width",
        "height",
        "shipping_freight",
        "low_avail_limit",
        "timestamp",
        "updated_timestamp",
        "usergroup_ids",
        "is_edp",
        "edp_shipping",
        "unlimited_download",
        "tracking",
        "free_shipping",
        "zero_price_action",
        "is_pbp",
        "is_op",
        "is_oper",
        "is_returnable",
        "return_period",
        "avail_since",
        "out_of_stock_actions",
        "localization",
        "min_qty",
        "max_qty",
        "qty_step",
        "list_qty_count",
        "tax_ids",
        "age_verification",
        "age_limit",
        "options_type",
        "exceptions_type",
        "details_layout",
        "shipping_params",
        "buy_now_url",
        "facebook_obj_type",
        "package",
        "price_rules_options",
        "price_rule",
        "package_form",
        "cp_pp_number_of_columns",
        "show_popularity",
        "show_viewed",
        "show_added",
        "show_deleted",
        "show_bought",
        "show_total",
        "popularity_view",
        "show_popularity_header",
        "show_orders",
        "orders_view",
        "show_orders_header",
        "show_orders_items",
        "show_only_total_popularity",
        "show_only_total_orders",
        "global_popularity",
        "total_plus",
        "global_total_plus",
        "ab__stickers_manual_ids",
        "ab__stickers_generated_ids"
      ]
    }
  }
}

Result

product_id product_code product_type status company_id list_price amount weight length width height shipping_freight low_avail_limit timestamp updated_timestamp usergroup_ids is_edp edp_shipping unlimited_download tracking free_shipping zero_price_action is_pbp is_op is_oper is_returnable return_period avail_since out_of_stock_actions localization min_qty max_qty qty_step list_qty_count tax_ids age_verification age_limit options_type exceptions_type details_layout shipping_params buy_now_url facebook_obj_type package price_rules_options price_rule package_form cp_pp_number_of_columns show_popularity show_viewed show_added show_deleted show_bought show_total popularity_view show_popularity_header show_orders orders_view show_orders_header show_orders_items show_only_total_popularity show_only_total_orders global_popularity total_plus global_total_plus ab__stickers_manual_ids ab__stickers_generated_ids
571 ESPZ8 P A 1 0.00 976 0.000 0 0 0 0.00 0 1436994000 1491803312 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
617 ESMT4 P A 1 0.00 975 0.000 0 0 0 0.00 0 1437080400 1490208661 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
627 ESMT14 P A 1 0.00 983 0.000 0 0 0 0.00 0 1437080400 1490162488 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
630 ESMT17 P A 1 0.00 979 0.000 0 0 0 0.00 0 1437080400 1490777120 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
674 ESED3 P A 1 0.00 878 0.000 0 0 0 0.00 0 1437339600 1490333688 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
796 ESCS19 P A 1 0.00 964 0.000 0 0 0 0.00 0 1437685200 1491375998 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
801 CSES23 P A 1 0.00 959 0.000 0 0 0 0.00 0 1437685200 1628080940 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
802 ESCS23 P A 1 0.00 971 0.000 0 0 0 0.00 0 1437685200 1628080940 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
844 ESRF6 P A 1 0.00 816 0.000 0 0 0 0.00 0 1439240400 1628080939 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
1091 ESBV0106 P A 1 0.00 963 0.000 0 0 0 0.00 0 1443733200 1490254556 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
1092 ESBV0107 P A 1 0.00 975 0.000 0 0 0 0.00 0 1443733200 1490254556 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0
1588 ESHE0143 P A 1 0.00 991 0.000 0 0 0 0.00 0 1446548319 1490253055 0 N N N B N R Y N N Y 10 0 N 0 0 0 0 N 0 P F default a:5:{s:16:"min_items_in_box";i:0;s:16:"max_items_in_box";i:0;s:10:"box_length";i:0;s:9:"box_width";i:0;s:10:"box_height";i:0;} activity N N F N 0 N Y Y Y Y Y L Y N L Y Y Y N 0 0