Looking on the internet deeply has found these results:

Compliment is the most popular phrase on the web.

Good compliment 1300,000 results on the web	Compliment 1138,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Which is good. It's a compliment. Mr President, first of all, my compliments on the report by Mr Della Vedova: it is a good one. First of all, I must compliment Mr Florenz on his good work. Some men are good at compliments. One thing you're not very good at is accepting a compliment. And thanks for the compliments, I always feel good. I think I did something good, and you got the compliment for it. And you are so good at giving a compliment that I was thinking that maybe you could spend the weekend with me here.	Compliment him.It can be tricky to complement a guy without making it too obvious that you like him. Complaint? Compliment? Go Straight to the Top! So the game is called 'Let's All Compliment Hannah'. Compliment took a bit of a left turn there. Compliment or thank you support the behavior that you want to see in him Compliment her when you have the opportunity. Proposal? That's right, Chad and I were enjoying a very romantic Compliment Night. Compliment them a little bit, but not too much.

Good compliment

1300,000 results on the web

Compliment

1138,000,000 results on the web

More popular!

Which is good. It's a compliment.
Mr President, first of all, my compliments on the report by Mr Della Vedova: it is a good one.
First of all, I must compliment Mr Florenz on his good work.
Some men are good at compliments.
One thing you're not very good at is accepting a compliment.
And thanks for the compliments, I always feel good.
I think I did something good, and you got the compliment for it.
And you are so good at giving a compliment that I was thinking that maybe you could spend the weekend with me here.

Compliment him.It can be tricky to complement a guy without making it too obvious that you like him.
Complaint? Compliment? Go Straight to the Top!
So the game is called 'Let's All Compliment Hannah'.
Compliment took a bit of a left turn there.
Compliment or thank you support the behavior that you want to see in him
Compliment her when you have the opportunity.
Proposal? That's right, Chad and I were enjoying a very romantic Compliment Night.
Compliment them a little bit, but not too much.