The remark appears in the actor and TV host's latest 'Ask Danny' piece for the publication after a 23-year-old reader asked how he should get over a split from his girlfriend.
Responding to the question, Dyer is quoted as saying: "You've got nothing to worry about, son. I'd suggest going out on a rampage with the boys, getting on the booze and smashing anything that moves.
"Then, when some bird falls for you, you can turn the tables and break her heart. Of course, the other option is to cut your ex's face, and then no-one will want her…"
The 32-year-old's 'advice' has today sparked strong criticism on the social networking site Twitter, with messages on the site branding the comments "disgraceful", "disgusting" and a "shocking low" for the magazine.
Responding to the row, Dyer told The Sun: "This is totally out of order, I am totally devastated. I have been completely misquoted. This is not the advice I would give any member of the public. I do not condone violence against women."
Meanwhile, a spokeswoman for Zoo's publishers Bauer Media told The Guardian: "Due to an extremely regrettable production error, an inappropriate and indefensible response to a letter has appeared in this week's issue.
"Zoo editor Tom Etherington apologises unreservedly for any offence the response may have caused and has launched an internal enquiry to ensure lessons are learnt. Zoo and Danny Dyer condemn any violence against women. A donation will be made to Women's Aid."