Wedge is self-described as "roly-poly," enjoying food. He has black hair held back with a red bandana, and wears a beige shirt, blue shorts, brown boots and shoulder pads, with a bandolier across his chest and grenades on the belt of his trousers.

While Wedge appears easygoing and thoughtful, he has self-esteem issues over his weight and ability to contribute in Avalanche. He conceals his worries by acting cheerful around others. He expresses concern for Cloud's emotional well-being, offering to help if Cloud ever needs somebody to talk to while believing Cloud's reasons for helping them are more than just money. He loves Tifa's cooking, attributing his weight to its deliciousness. In Final Fantasy VII Remake Wedge cares for numerous cats. The slum dwellers talk about "someone in the neighborhood watch who is a real cat whisperer," and he once invites Cloud to visit him so he can meet all his cats. Barret later laments that Wedge really looks up to Cloud and wants to be friends with him, but is not good at expressing it with words.

Wedge is also an older brother; if spoken to just before jumping off the train on the way to the Mako Reactor 5 in the original game, he remarks that he looks like his younger brother in the disguise he is wearing.