Loaning Arda to another club would be the right step for his career development, because however it will be very difficult for him to get a lot of playing time in Madrid at the moment, With the fierce competition in Madrid with star players such as Vinícius and Mbappé of course it will be difficult for him to be able to play unless indeed the player is injured or absent, even now Arda chances of playing and developing are getting smaller after Endrick arrival to Madrid, so to be able to improve his quality and ability to play, of course he has to take a bold stance to get out of his comfort zone in Madrid at the moment, Arda has extraordinary potential and he has often been dubbed as the Messi of Turkey so far with his talent, but talent alone will certainly not be enough without playing experience and the formation of his character in matches to hone his skills.
The problem there is the fact that Arda has been around a bit more attacking midfield side, it could be right side, it could be where Jude is, basically he is not a striker, but still offensive. That part is the strongest part of Real Madrid, and that is why he won't be getting any good chances there at all. Moving him to a new position could work if they train him for it, and he has the talent for it too, but last season we saw how he is good at scoring too, he is an offensive player in the sense that he can score a lot of goals if he is put there.
This season things were a little bit different, and this is why he gained some playing time at the start of the season when some players were injured, and I am sure he will get it again if players get injured again, but it feels as if we are not seeing a lot of injuries at this moment, so we should be looking into what he can do at the moment.