There are several playable characters in Marvel's Avengers who can fly, but that won't slow down Captain America, so long as he has two walls with him at all times.  It has been revealed that Cap can wall run and wall jump in the game.

Marvel's Avengers is an upcoming action-adventure game that lets players control characters like Black Widow, Iron Man, and Thor. Captain America will also be playable and the gameplay trailers revealed so far have shown him beating up enemies with both his fists and his shield.

Marvel's Avengers' lead combat designer Vince Napoli has confirmed on Reddit that Captain America can perform wall runs, though he can only move a limited distance. It's possible to extend the wall run by reaching another surface, giving him a level of agility equal to that of Mario or the Prince of Persia. Captain America's combat style will be equally acrobatic, with a feeling of power being woven into his movement. It makes sense to give Captain America this kind of skill, considering the physical attributes given to him by the Super Soldier Serum, and it will likely only be used in short bursts, rather than having him go full Mario.

Marvel's Avengers will release for PlayStation 4, Xbox One, PC, and Google Stadia on September 4, 2020.

Source: Reddit