He currently plays for Kambaniakos, wearing the number 6 shirt. He plays primarily as a Defender. His current market value is estimated at 100K .

His most recent move was a from Agrotikos Asteras to Kambaniakos on 2022-10-20.

Throughout the Greek Super League 2 2025-2026, G. Papakonstantinou featured in 19 matches, averaging 0 tackles, 0 interceptions, and 0 clearances per game, while blocking 0 shots per game.