Georgi Minchev passed through the youth systems at Ariston and Litex. It was there (in Lovech) where he started off his professional career. He also played for PFC CSKA-Sofia and Tsarsko selo, where he captained the team. On a national level, he performed for the youth teams of Bulgaria.
Minchev is part of the main squad of Lokomotiv Plovdiv since July 2020. Immediately after joining he and the team triumphed with the Bulgarian Supercup trophy by defeating Ludogorets in the final game.