SELECT 
  p.product_id, 
  ifnull(
    count(dp.post_id), 
    0
  ) as discussion_amount_posts 
FROM 
  tmall_discussion 
  INNER JOIN tmall_products as p ON (
    tmall_discussion.object_id = p.product_id
  ) 
  INNER JOIN tmall_discussion_posts as dp ON (
    tmall_discussion.thread_id = dp.thread_id 
    AND tmall_discussion.object_type = 'P'
  ) 
WHERE 
  dp.status = 'A' 
  and p.product_id in (
    114, 108, 104, 121, 103, 112, 97, 116, 
    111, 110, 118, 123, 119, 100
  ) 
GROUP BY 
  p.product_id

Query time 0.01105

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.168529282,
    "filesort": {
      "sort_key": "p.product_id",
      "temporary_table": {
        "nested_loop": [
          {
            "table": {
              "table_name": "dp",
              "access_type": "ALL",
              "possible_keys": ["thread_id", "thread_id_2"],
              "loops": 1,
              "rows": 50,
              "cost": 0.01785585,
              "filtered": 100,
              "attached_condition": "dp.`status` = 'A'"
            }
          },
          {
            "table": {
              "table_name": "tmall_discussion",
              "access_type": "eq_ref",
              "possible_keys": ["PRIMARY", "object_id"],
              "key": "PRIMARY",
              "key_length": "3",
              "used_key_parts": ["thread_id"],
              "ref": ["tmall.dp.thread_id"],
              "loops": 50,
              "rows": 1,
              "cost": 0.0866561,
              "filtered": 100,
              "attached_condition": "tmall_discussion.object_type = 'P'"
            }
          },
          {
            "table": {
              "table_name": "p",
              "access_type": "eq_ref",
              "possible_keys": ["PRIMARY"],
              "key": "PRIMARY",
              "key_length": "3",
              "used_key_parts": ["product_id"],
              "ref": ["tmall.tmall_discussion.object_id"],
              "loops": 50,
              "rows": 1,
              "cost": 0.03187615,
              "filtered": 100,
              "attached_condition": "p.product_id in (114,108,104,121,103,112,97,116,111,110,118,123,119,100)",
              "using_index": true
            }
          }
        ]
      }
    }
  }
}