Does this phrase really exist – уходить по-английский?

And in Central America, the Spanish phrase for leaving without telling anyone or ignoring someone who is calling you is, "Hacerse el ruso", which means "To become like a Russian" :)

Same in French: "Filer a l'anglaise" or to leave the English way

It's an actual and common phrase. Уйти по-английски means to leave without saying goodbye.

Yes, it’s pretty real. Literally means to take English leave, idiomatically - to take French leave (without saying goodbye). Although both idioms are different in English and Russian, they mean the same