According to clubwatcher Johan Inan, Anton Gaaei's place in the Ajax selection is not secure and a departure in the winter is possible. Inan states that Ajax is allowing the Dane to seek opportunities elsewhere.

SS Lazio is interested in Anton Gaaei as they seek to strengthen their back positions. Ajax values the Danish right-back at 'at least' nine million euros. Gaaei had a challenging debut season at Ajax but improved significantly, playing in forty matches, scoring three goals, and providing five assists. His contract with Ajax runs until mid-2028.

Liverpool are considering Anton Gaaei as a potential successor to Trent Alexander-Arnold, who is wanted by Real Madrid. Gaaei is a Danish 22-year-old right-back who joined Ajax from Viborg in 2023. Liverpool scouted him during their recent visit to watch Ajax play.