Perry, who is dating singer John Mayer, even sent a message to the "Harry Potter" star to contact her soon.
"Oh please, this isn't the third grade. Just ring me, Daniel. Don't be shy, or get your people to call mine if you like," thesun.co.uk quoted Perry as saying.
Although she is in a relationship, she would love to be good friends with Radcliffe.
"I am totally taken so it's not about that. I think he's cool and I'd really like to get to know him. We'll all go out and party," she said.
Photos: Shraddha Kapoor, Kim Sharma at 'Haseena Parkar' screening
Mumbai to Goa train: First look at the glass-top Vistadome coach
Shuttler Ashwini Ponnappa keeps it short and sexy on social media
Photos: Narendra Modi, others at Marshal Arjan Singh's funeral
Photos: Sussanne Khan and Nimrat Kaur spotted at a spa in Juhu