It looks like you may be using the pq driver. pq
recently added Postgres-specific Array support via pq.Array (see pull request 466). You can get what you want via:
stmt, err := db.Prepare("SELECT * FROM awesome_table WHERE id= $1 AND other_field = ANY($2)")
rows, err := stmt.Query(10, pq.Array([]string{'this','that'})
I think this generates the SQL:
SELECT * FROM awesome_table WHERE id=10 AND other_field = ANY('{"this", "that"}');
Note this utilizes prepared statements, so the inputs should be sanitized.