The 31-year-old is expected to complete his move to the Cottagers within a few days.
“Hopefully it will come out well. I take Fulham as a big call and will experience another top league,” Grygera told CTK.
“The Premier League is probably the most followed competition at the moment and I am tempted by the prospect of being a part of it.
“This spell can teach me a lot as a footballer as well as a human being.
“I will come to know a different mentality and learn another language. The same goes for all my family.
“It is not easy for me to be leaving Juventus. Juventus is Juventus and, moreover, I have come to love Italy.
“But the situation there has developed in recent weeks that I would hardly make it into the nomination of 18 or 20 players.
“I have decided to leave and Fulham are an excellent option.”