(Saltwater) - Will My Cleaner Wrasse Survive?

I got a blue streak cleaner wrasse because I had some strange things on the body of my 2 clowffish, so I figured that it was parasites, so I picked up a cleaner wrasse and my parasite problem is now gone thanks to him. Now I know that they can be picky to feed, but I haven't been having any problems what so ever! I feed my fish 2 sometimes 3 times a day (small quantities). He is doing sooo well, like he even has a noticeably full belly after he's done eating. I even put together a food concoction of 2 different types of plankton, blood worms and mysis shrimp (which he eats almost all of, he is more of a pig than my other fish). I also feed flakes for the other fish but the wrasse won't eat those. It has been a week since I got him and he is doing fantastic. Will he still more than likely die even if he is eating well and I'm trying to give him as much nutrition a possible?