The sixth man made his move to Houston yesterday, having been a part of a player-trade deal with the Sacramento Kings.
"It was always special playing in the Houston Rockets' arena," said Terry, according to the Houston Chronicle.
"I don't know if it was the fans, or the red seats – probably a little bit of both – the history of the franchise; it's just a special place.
"There's about six or seven arenas around the league that when you step foot in that arena, you feel like, 'Man, I want to have a big game.' So every time I faced Houston... I always wanted to... perform at high level. Now that I'm joining the Rockets, hopefully I can provide that same energy, that same excitement that they faced for years."
Terry will get his chance to impress for the Rockets when the new NBA season gets underway in late October.