SELECT 
  video_id, 
  product_id 
FROM 
  cscart_ab__video_gallery 
WHERE 
  product_id IN (
    425, 407, 323, 389, 402, 1972, 388, 426, 
    409, 1974, 404, 325, 1936, 387, 386, 
    416, 326, 441, 322, 1957
  )

Query time 0.00036

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "1.20"
    },
    "table": {
      "table_name": "cscart_ab__video_gallery",
      "access_type": "index",
      "possible_keys": [
        "product_id"
      ],
      "key": "product_id",
      "used_key_parts": [
        "product_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 1,
      "rows_produced_per_join": 1,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "1.00",
        "eval_cost": "0.20",
        "prefix_cost": "1.20",
        "data_read_per_join": "64"
      },
      "used_columns": [
        "video_id",
        "product_id"
      ],
      "attached_condition": "(`eshopuga_upgr_4122`.`cscart_ab__video_gallery`.`product_id` in (425,407,323,389,402,1972,388,426,409,1974,404,325,1936,387,386,416,326,441,322,1957))"
    }
  }
}