Both the Premier League and UEFA Champions League squad list for the 2012/13 season had been submitted by Arsenal Football Club. In the list, you'll find some players who are eligible to play in the Premier League but not qualified to appear in the Champions League due to some regulations.
The names of such players have asterisk in front of them.

Aaron Ramsey
Alex Oxlade-Chamberlain
Andre Santos
Andrey Arshavin
Bacary Sagna
Carl Jenkinson
Chuks Aneke
Conor Henderson
Craig Eastmond
Damian Martinez
Daniel Boateng
Elton Monteiro
Emmanuel Frimpong
Francis Coquelin
Gervinho
Hector Bellerin
Ignasi Miquel
Isaac Hayden
Jack Wilshere
James Shea
Jernade Meade
Johan Djourou
Jon Toral
Jordan Wynter
Josh Rees
Kieran Gibbs
Kristoffer Olsson
Kyle Ebecilio
Laurent Koscielny
Lukas Podolski
Lukasz Fabianski
Marouane Chamakh
Martin Angha
Mikel Arteta
Nico Yennaris
Nigel Neita
Olivier Giroud
Per Mertesacker
Philip Roberts
Reice Charles-Cook
Samir Bihmoutine
Sanchez Watt
Santi Cazorla

SOURCE: http://www.arsenalterritory.com/2012/09/arsenal-premier-league-and-uefa.html