He currently plays for Torpedo Kutaisi, wearing the number 24 shirt. At the international level, he represents Georgia U19. He plays primarily as a Defender.

His most recent move was a from Torpedo Kutaisi II to Torpedo Kutaisi on 2023-12-31.

Throughout the Georgia Erovnuli Liga 2025, Amiran Tkeshelashvili featured in 28 matches, averaging 0 tackles, 0 interceptions, and 0 clearances per game, while blocking 0 shots per game.