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Firstly, make sure less than 15 friends are on your list so that you will get the option to add more.
Then, what I've found works in this situation is to delete requests from players you do not know or want and next time you enter the game new friends will appear (sometimes it can take days or even a week until the paticular friend you want appears!)
I'll sometimes add them as friends first because they automatically give you a life, then remove them.
So add a few then remove them after you get a life and use the red cross to also remove requests you don't want.
Hopefully you will get some new friends appearing in the 'add friends' list!
Good luck 😊 Restricting us to 15 friends is ridiculous!