Item shop pets are not real pets. You can summon them (and some give you useful buffs), but real pets are caught or bought on AH within game.
-- Rustyx --- 92R / 92S / 92M on Reni (Guild KnightShift). Yes, running the new FOTM R/M, cause I am not elf enough to be WD/S.
Oh, and people who have more than 3 classes are clinically insane.