I'm sure it won't be difficult for Rodrygo to find a club when he leaves Madrid. There are already rumors related to clubs from the Premier League who have started to be interested in Rodrygo. It's a shame if Xabi doesn't need him in his squad. Either it will be a good choice for Madrid, or it could backfire on them if he ends up playing for a club that competes with Madrid in the Champions League.
Real Madrid have incredible players but we don't see them winning titles previous season, they struggled and couldn't bend their way towards glory. Maybe they can try again next season. Real Madrid manager, Xabi Alonso is a basic coach, he knows what he's doing and just getting acquainted with the game pattern.
Rodrygo is a big seasoned player who have been underrated in most big games but he still manage to turn up and make the changes. Who doesn't admire the playing style of Rodrygo in Real Madrid? Let's not conclude because he's still very vibrant and have become one of the most important played for his side, always coming infront of goal to score.
From the few matches Xabi has played for Real Madrid, it's clear that Rodrygo isn't in Xabi's plans for next season. Therefore, Rodrygo will likely leave Real Madrid, as he's still very young and needs more playing time. Although he's been a hero for Real Madrid in key matches under Ancelotti, he's sometimes inconsistent. When he starts, he always performs poorly, but when he comes off the bench, he always makes a difference for the team.
So, it's understandable that when Xabi Alanso arrived at Real Madrid, Rodrygo wasn't high on his priority list. I personally would prefer Rodrygo to leave Real Madrid, especially as you mentioned, with so many teams still interested. Furthermore, his current asking price is still high. This would be a great opportunity for Real Madrid, as they have fresh funds to bring in other players who fit Xabi's criteria.
Yes, in this context it is understandable that Rodrygo was not on the list of priorities of this manager when he took charge of the team, I think the manager might have seen him as the perfect option because he had the skill and ability to score goals from the wing. However, at this stage it seems that the Real Madrid coach may be looking to start a new chapter. It is correct to say that he is currently trying to buy a player who fits the criteria of Javi, perhaps to make this effort successful he will once again sell their team's defender to an Italian club. I personally believe that the transfer market is still hot for Rodrygo because he is currently stuck in the Reds' plans. However, it is important to know which team is interested in signing him at the moment because Liverpool are now relying on another player to sign him.