Catcher Kyle Schwarber (No. 49) and outfielder Albert Almora (No. 57), as well as right-hander Pierce Johnson -- who was among MLB.com's Top 100 Prospects heading into last season -- also are participating in big league camp.
Bryant hit a Minor League-leading 43 home runs at Double-A and Triple-A last season, while Russell hit .294/.332/.536 for Double-A Tennessee after being acquired from Oakland in the Jeff Samardzija trade.
Schwarber advanced to High A after being selected No. 4 overall in the 2014 Draft and hit a combined .344/.428/.634 with 18 homers in 72 games, while Almora slashed .270/.291/.392 at High A and Double-A in 2014.
Almora (2012), Bryant (2013) and Schwarber (2014) are the Cubs' last three first-round Draft picks.
Right-hander Daniel Bard, who posted a 1.93 ERA in 2010 with the Red Sox and was claimed off waivers by the Cubs in 2013 before joining the Rangers organization, also will be in Mesa, Ariz., with the club.
The full list includes:
Right-handers Corey Black, Anthony Carter, Jorge De Leon, Armando Rivero, Donn Roach, Bard and Johnson, and left-handers Francisley Bueno and Hunter Cervenka.
Infielders Jonathan Herrera, Chris Valaika, Logan Watkins (injured), Bryant and Russell.
Outfielders Mike Baxter, Adron Chambers and Almora.
Catchers Taylor Teagarden and Schwarber.
Pitchers and catchers officially report to Spring Training on Feb. 20, while the first full-squad workout is Feb. 25.
Cash Kruth is a reporter for MLB.com. Follow him on Twitter at @cashkruth. This story was not subject to the approval of Major League Baseball or its clubs.