Do Goldfish recognize their Owners?

Yes, Goldfish often recognize the human that regularly feeds them. Goldfish can develop an association between something they like, being fed, with the person who feeds them. The more you interact with your fish, the more likely they will be to recognize you. It's normal for fish to swim to come up to it.

Scientists show that fish are capable of remembering and recognizing human faces. Pet goldfish may remember their owners. Some fish can recognize their owners. But the majority of fish probably can't. 

Goldfish have been found to have the ability to distinguish between people, based on visual and auditory such as body shape, voice, and scent. 

Goldfish have some level of recognition for their owners, but their ability to recognize specific objects may be limited.
They have also been shown to be excited behaviors such as swimming to the surface and following their owners when they approach the tank for feeding.