Oxlade-Chamberlain believes the Blues planned to use him at wing-back, and his primary reason for wanting to leave Arsenal is to play in central midfield.
The 24-year-old England international wants to move to Liverpool and the Anfield club are interested in a deal.
A bid is expected before Thursday's transfer deadline, although it will be short of the £40m Chelsea offered.
Should a move not transpire, Oxlade-Chamberlain will see out the final year of his contract before potentially leaving on a free transfer next summer.
Arsenal want any deal for the former Southampton midfielder completed as quickly as possible.
Oxlade-Chamberlain has started every game for the Gunners so far this season, including Sunday's 4-0 defeat at Liverpool, when he was substituted.
Chelsea manager Antonio Conte had made it clear he wanted to add further to his squad before the transfer window closes on Thursday.
Oxlade-Chamberlain has made 198 appearances for Arsenal since joining them from Southampton in August 2011.