Matejovsky has signed a three-and-a-half-year contract and when asked whether he was ready for Saturday's Barclays Premier League trip to Villa Park, he said: "That's a decision for the manager, not me.
"I would like to try as hard as possible to show I am ready to play and that I am able to play as well.
Matejovsky admitted he was taken aback by Reading's interest, saying: "I was surprised but it was my dream. I am delighted to come here, I am looking forward to playing."
He also hailed the Premier League as "the best league in the world" and dubbed new boss Steve Coppell one of the finest managers in the country.
"I know they were a good success in the Premier League last year and they have a brilliant manager," said Matejovsky, who said he was versatile enough to play anywhere in midfield.
His first training session came as something of a shock, with the player admitting: "[It was] very fast! I've had a Christmas break at home so it was my first one after that. All my feelings so far are positive.
"They were all very nice to me and it was very nice to enter the locker room. There was a good feeling in there, and I got a good feeling from Kevin Doyle and Stephen Hunt."
Matejovsky is a regular in his country's national team, scoring in a 3-0 victory in Germany in October to help them win their European Championship qualifying group.
"My wish is to be a useful member of both the national team and the Reading team as well," told the club's website.
"So I must work a lot, there is a lot of work in front of me, but I want to do it."