The former Chelsea star has signed for Real in a deal worth up to £130m.
Thorgan, currently with Borussia Mönchengladbach, said: “It was an eventful week for the whole family. For Eden, but also for my father. He participated in the discussions. I think he is now ready for a nice vacation. And a good glass of champagne to celebrate.
“Eden has realized his dream. That is the most important. He deserves this too. I think he is happy with the way that happened - everything went well with Chelsea. How did he handle the stress? Eden never has stress. Not even now."