raise (one's) hat(redirected from raise their hat to)
raise (one's) hat
To praise, salute, congratulate, or pay tribute to someone. I must raise my hat to you for your stunning victory, Mr. President. I really have to raise my hat to the company for coming being so supportive of me and my family during this troubling time.
raise your hat to someoneadmire or applaud someone.
The image here is of the gesture of briefly removing your hat as a mark of courtesy or respect to someone.