On Sunday, the 34-year-old won the GB Olympic trials but did not achieve the 'A' qualification time required to guarantee Olympic participation.
Chambers became eligible for London after the Court of Arbitration for Sport overturned the life Olympic ban imposed by the British Olympic Association following a drugs ban.
Harry Aikines-Aryeetey and Mark Lewis-Francis have been picked instead, while Chambers will take part in the 4x100m relay.
Chambers won Sunday's trials in Birmingham with a time of 10.25 seconds, 0.07 outside the 'A' time.
Lewis-Francis was sixth in the trials, clocking 10.44, while Aikines-Aryeetey was seventh in 10.47.
Chambers said on Sunday: "I would like to be selected outright. If there's a way the selectors can look on my history I will gladly take that opportunity, but hopefully I am able to secure the qualifier in Helsinki."
Great Britain team for the European Championships in Helsinki - June 27-July 1.
100m: Harry Aikines-Aryeetey, Mark Lewis-Francis
200m: Chris Clarke, Danny Talbot
400m: Richard Buck, Luke Lennon Ford
800m: Mukhtar Mohammed, Gareth Warburton
1500m: James Brewer, Tom Lancashire
5000m: Mo Farah, Rory Fraser, Mitch Goose
10000m: Keith Gerrard, James Walsh
3000m steeplechase: Luke Gunn, Rob Mullett, James Wilkinson
110m hurdles: Richard Alleyne, Gianni Frankis, William Sharman
400m hurdles: Rhys Williams, Nathan Woodward, Rick Yates
High jump: Robbie Grabarz, Samson Oni, Tom Parsons
Pole vault: Luke Cutts, Max Eaves, Andrew Sutcliffe
Long jump: JJ Jegede, Julian Reid, Chris Tomlinson
Triple jump: Larry Achike
Shot put: Carl Myerscough
Discus throw: Abdul Buhari, Brett Morse, Lawrence Okoye
Hammer throw: Mark Dry
Decathlon: Ashley Bryant
4x100m: Aikines-Aryeetey, Dwain Chambers, Tyrone Edgar, James Ellington, Christian Malcolm, Danny Talbot
4x400m: Buck, Michael Bingham, Lennon Ford, Nigel Levine, Rob Tobin, Conrad Williams
100m: Jeanette Kwakye, Ashleigh Nelson,
200m: Abi Oyepitan,
400m: Lee McConnell, Kelly Massey, Nicola Sanders
800m: Jenny Meadows, Lynsey Sharp, Jemma Simpson
1500m: Charlene Thomas
5000m: Julia Bleasdale, Helen Clitheroe, Stephanie Twell
10000m: Jo Pavey, Charlotte Purdue, Gemma Steel
3000m steeplechase: Hatti Archer
400m hurdles: Meghan Beesley
High jump: Isobel Pooley
Pole vault: Sally Peake
Long jump: Abigail Irozuru, Shara Proctor
Shot put: Eden Francis
Discus throw: Francis, Jade Nicholls
Hammer throw: Sophie Hitchon, Sarah Holt
Javelin throw: Goldie Sayers, Laura Whittingham
4x100m: Montell Douglas, Hayley Jones, Kwakye, Nelson, Anyika Onuora
4x400m: Eilidh Child, Shana Cox, Massey, McConnell, Christine Ohuruogu, Sanders