If you're trying to "hold" a parakeet that isn't finger trained yet, it means you didn't read my website
Here are the pages on how to hand train your parakeet - http://www.lisashea.com/petinfo/articles/bird_hand.html
go step by step SLOWLY through this and follow the suggestions, and read the other pages on the site too. That's how to tame your keets
Parakeets aren't "petted" like cats btw
If anything, they are gently scratched under their chins and on their heads, but that only comes after they are fully trained.