He currently plays for Galway United, wearing the number 2 shirt. He plays primarily as a Defender.

His most recent move was a Loan from Galway United to Swansea City U23 on 2026-11-30.

Throughout the Ireland Premier Division 2026, Arthur Parker featured in 4 matches, averaging 4.8 tackles, 1.3 interceptions, and 1.8 clearances per game, while blocking 0.3 shots per game.