Branyan, 37, reached agreement on a deal with the Yankees earlier on Wednesday, while the 32-year-old Hall announced his own signing via Twitter on Tuesday.
New York will have some former Red Sox hurlers competing for jobs in camp, evaluating Delcarmen, 29, and Okajima, 36. The 33-year-old Wise, a defensive hero for the White Sox in Mark Buehrle's perfect game in 2009, will contend for a bench role.
Additionally, the Yanks announced invitations for the following players, broken down by position groupings:
Left-handed pitchers: Manny Banuelos, Juan Cedeno, Mike O'Connor, Okajima.
Right-handed pitchers: Daniel Burawa, Matt Daley, Delcarmen, Brett Marshall, Adam Miller, Ryan Pope, Graham Stoneburner, Adam Warren, Kevin Whelan, Chase Whitley.
Catchers: Jose Gil, Kyle Higashioka, Gustavo Molina, J.R. Murphy, Gary Sanchez.
Infielders: Doug Bernier, Branyan, Hall, Jayson Nix, Jorge Vazquez.
Outfielders: Colin Curtis, Cole Garner, Wise.