SELECT 
  video_id, 
  product_id 
FROM 
  cscart_ab__video_gallery 
WHERE 
  product_id IN (
    1566, 2282, 2248, 1573, 1493, 1574, 1527, 
    1589, 2256, 1709
  )

Query time 0.00029

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_ab__video_gallery",
      "access_type": "range",
      "possible_keys": ["product_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 10,
      "filtered": 100,
      "attached_condition": "cscart_ab__video_gallery.product_id in (1566,2282,2248,1573,1493,1574,1527,1589,2256,1709)",
      "using_index": true
    }
  }
}