remembering that it was previously rumored that a team from Serie A (Milan) wanted Arda on loan ...
I couldn't see any updates on Milan's interest in Arda. Yeah there was some news before like they were interested. But maybe after Ancelotti stated that he would stay at Real Madrid this summer, Milan might have dropped their interest. Otherwise I would be okay with watching him play for Milan as well. Because Milan are currently doing quite well in the Serie A and they would give more playing time to Arda there.
But if Arda doesn't also want to leave then there is no need to look for a new adventure. Real Madrid is a great team when it comes to improving a young talent in every way. Even while that player isn't able to find chances very often.
I think, maybe the rumors happened when Arda still didn't get the chance to play after recovering from his injury. But anyway, near the end of the season that Arda has also had the opportunity to play even though it happened only for substitutes or playing in the rotation of players made. But despite this, the fact is that Arda always manages to score goals and make a good contribution to the results obtained by Real Madrid. Therefore, it might make Arda mood good again and of course, with this factor at least making Arda might feel more comfortable at Real Madrid because he has managed to show his quality.