The veteran stopper is leaving Chelsea at the end of the season.
Badiashile said: "Thiago is a great player and we all know how great he is.
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It will be a great miss for us but we have to continue to work. That's life, we have to continue.
You can see that when I play with him, I am more confident, but I have to try to be the same player without him because he can't be with me throughout my career.
He has helped me a lot, but I will try to do my best without him."