Edwards will continue to coach Wales' defence for a further four years in a role that also allows him to work for an Aviva Premiership club on a part-time basis.
The new deal concludes any chance of the highly-rated 45-year-old, who stepped down from his post at Wasps two weeks ago, joining England's coaching team before the 2015 World Cup.
And while Edwards would have been happy to receive an approach from the Rugby Football Union, he insists he would never tout himself for positions that are already filled.
"Wales is the only concrete offer I've had. I haven't heard anything else," he told Sky Sports News.
"I haven't had any contact with anyone from England.
"You're always open to offers but I haven't heard anything from the RFU and I wouldn't expect to. England's coaches are still in place.
"There's paper talk, but in the end I'm not the kind of guy to be pitching for other men's jobs.
"England have got a very good team of coaches already. They are Six Nations champions and they have played some great rugby in the last couple of years.
"Unfortunately the World Cup didn't go their way but I have a lot of respect for those guys.
"There's no way I'd be pitching for their jobs when they are still in those jobs. It's not my style."
Edwards shook hands on his new deal with Welsh Rugby Union chief executive Roger Lewis, but has yet to sign the contract with a few minor details needed to be finalised on Wednesday.
Under the terms of the deal, he will be released one day a week outside Test weeks to work with an Aviva Premiership club.
He is reported to have already been approach by an unnamed club.
"I can't say anything about that but I can say I haven't signed for any club," he said.
"If I get a club I'll be very happy because I do enjoy that week-to-week excitement and would love to be at a Premiership club. But I can't say who that will be."