Abramidze joined FC Spartak Moscow during summer 2002, signed 5-year contract.
During 2007 summer mid-season, Abramidze had major issues leaving FK Khazar Lenkoran.
While Abramidze was sure he had signed one-year contract in 2006 and now he is free agent, FK Khazar Lenkoran authorities told that he'd signed contract that is 2-year long.
[2] As a result, Abramidze had lost a lot of time while trying to be transferred to Anzhi, so the club could not include him into the signing list for Russian First Division in 2007.
In May 2022, Valeri Abramidze was appointed as a caretaker coach at Rustavi for a few weeks.