Pellegrini was far from pleased with Jose Mourinho's tactical approach and compared his opponents to the Potters in an unflattering manner, but Bowen said that manager Mark Hughes didn't take offence.
Bowen told reporters: "It's nice to be called a 'small team' because we've been called giants over the last few years.
"I do have a wry smile, because perhaps we are a small club compared to Manchester City, and all the millions that they spend.
"I spoke to Mark about it this morning and he took it as a compliment. If Jose Mourinho went in with the same tactics as us then we can't be doing a lot wrong. We'll take in the right way."
Stoke beat City 1-0 at the Etihad last month.