Real Madrid has all the resources that a good coach like him need to become successful. I don't see any pressure that will be on him to the point the he will make decisions that will affect the team performance negatively. Alonso was able to work something out of nothing with Leverkusen. This gives me more confidence in him that he will take the team to a greater height.
Hopefully, it will be as you say, because Real Madrid is a big team that plays in major competitions like the Champions League and La Liga, so the competitiveness is certainly very different from the Bundesliga when he was in charge of Leverkusen. I hope Real Madrid can play a different game with Alonso so that when the team becomes strong again and wins trophies again, all Real Madrid fans will praise Alonso's performance and also see him as a great coach. But if Alonso fails to make Real Madrid stronger next season, perhaps the next season will also be highly doubted by all Real Madrid fans.