Arda Guler is seen as the future of Real Madrid. And just as you said he is aware that he needs to be patient. Karim Benzema had to wait until Cristiano Ronaldo left Real Madrid before he began to feature consistently or enjoy first team shirt in Real Madrid.
I have read several sports news where Turkish fans are complaining about the young player's minimal use in Real Madrid. They felt that their golden star should always feature in all games. Arda's time in Real has not come, he will continue to be a backup player until he matures or gets the opportunity. He would have gotten more playing time this season if not for the signing of Mbappe.
Carlo Ancelotti will keep on using him his main strikers are injured, suffer fatigue or are in unimportant games. But I know that the Turkish player is happy to be part of the biggest club in Europe. But he is not, he could push for a loan deal because I don't think that the club will let him leave permanently.
Complaints like that are quite reasonable because after all, seeing the current conditions for the fans is actually quite reasonable when many expect him to be given many opportunities but in the end the coach knows what the club needs in the end.
Arda has good potential for the size of a professional player but indeed with Madrid's strong competition at the moment he is actually quite grateful when he is an option in several crucial matches that Madrid do and that proves that he is one of the players who is quite important for Madrid despite his young age.
Right now, he just needs to be patient with his career at Madrid because sooner or later when he finds his form and is increasingly trusted by the coach to be in the line-up then Arda will definitely have more time to play regularly. All Arda has to do now is maintain his form and play his best when given the change.