In the US, most people will either say "kiss ass" or "brown nose". Both basically mean 拍馬屁, 但比較粗一點. 好像把鼻子或嘴巴放在屁股裡的感覺. The term "schmooze" is okay, but it doesn't always mean 拍馬屁. Babelfish doesn't work in this case. I can tell you that NO person in the US will understand your meaning if you use any of the following ... apple-polish, bootlick, bootlicker, palaver, toady, or green nose.

apple-polish， bootlick， bootlicker， palaver， toady......

kiss one's ass

There are a lot of English phrases for that term. The most frequent translation used are: Verb Form: "Kissing up" i.e He is always kissing up to his boss. "Sucking up" i.e. She frequently sucks up to her boss to get promotions. "Kissing his/her ass'" << carries a more negative tone compared to the other form, since "ass" is consider a bad word. hehe Also the noun form: "Kiss up", "Suck up", "Ass kisser". He got the promotion because he is such a kiss up/suck up/ass kisser.

lick sb.'s boots