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In turn Rodrygo may have to make the right decision for his own future. He is a good player and has been an important player under Ancelotti, but his future is uncertain after Ancelotti left Real Madrid for his new job. Xabi Alonso may give him a chance in the first team while he adapts, but if Rodrygo wants to get more minutes, he will have to move.
It is said that Arsenal are interested in Rodrygo, but I don't know how far this rumor has spread. On the other hand, Rodrygo actually really wants to stay at Real Madrid which has been the best team for him so far. He has contributed to the team's success in the last few seasons, but the change of coach and the signing of new players has made him miss out on more opportunities. He can stay or go for one reason, Rodrygo needs more playing time.
The change of coach has put Rodrygo future at Real Madrid in even more jeopardy, especially since Xabi Alonso and Real Madrid will not stand in his way if he receives a suitable offer. Xabi Alonso style of play at the Club World Cup should have been an opportunity for him to prove his worth to the new coach, but in reality, he struggled to contribute to the team.
Arsenal interest in him could change the current situation, especially as Arteta is keen to have Rodrygo in his squad to add ammunition on the wing. He has to make the right decision for his future, it seems Rodrygo has to follow in Martin Odegaard footsteps to get regular playing time to improve his skills, in a situation like this, staying at Real Madrid is not the best solution for him.