There is increasing evidence that many fish species are capable of recognizing individual humans, especially when positive reinforcement—such as regular feeding—is involved. Studies have demonstrated that fish can distinguish between different people based on visual cues and even behavioral patterns. For example, some research has shown that archerfish can differentiate between human faces, supporting the idea that fish memory and cognitive abilities are more advanced than previously assumed.
The misconception that fish only have a "3-second memory" has been thoroughly debunked. Many species, including cichlids, goldfish, and certain marine fish, display forms of learning and memory that allow them to recognize their daily caretakers. It is not uncommon for fish to become more active and approach the tank when their owner is nearby, as several in this thread have observed.
Of course, the degree of recognition can vary between species and even individuals. While some fish appear indifferent to humans in general, others clearly respond differently depending on who is present. Overall, the growing consensus is that many fish are not only trainable on a basic level but are also capable of individual recognition, especially when it is associated with regular positive experiences such as feeding.