The Latics are bottom of the table with 10 games remaining having won only one game at home this season.
On Saturday they will face a West Brom side who have one of the best away records, with their form away from the Hawthorns only eclipsed by league leaders Manchester United and title contenders Manchester City.
Martinez knows Wigan need to improve on recent displays at the DW Stadium if they are to stand a chance of repeating last season's feat of avoiding relegation in a five-way fight between themselves, Wolves, QPR and fellow north-west clubs Bolton and Blackburn.
"Manchester United, Manchester City and West Brom - those are the best top three away records in the league so that shows you away from home West Brom are a tough team to play," Martinez said.
"They're well organised and well disciplined. They're a group of players that has been together for a while with great experience and a big threat going forwards so we'll expect a very, very tough game.
"What they do well is use the counter-attack to good effect so we'll have to be fully aware.
"In many ways it's a game that we'll have to be perfect in over the 95 minutes as this team doesn't concede many goals."
Martinez has also backed striker Hugo Rodallega to find his goalscoring form in the final stages of the season.
The Colombia international has only scored two goals this season but Martinez is confident the 26-year-old has a big part to play in engineering Wigan's escape from the relegation zone.
"Hugo has worked really well and he has created many chances and brought a real threat in our attacking play," Martinez said.
"That's what we need in a bit of an up-and-down season but now he's ready to perform at his best.
"I think you can see a real air of concentration and focus in the squad and we can't wait to get on the pitch. That's a very good state when you're in the position that we're in.
"Looking at the last five games we've got at home, that's a pretty important part of the season to get everyone sharp and everyone desperate to get on the pitch and ready to contribute to the side."
And Martinez is not worried about his side's lack of goals.
"In football sometimes you need a little bit of confidence and a little bit of luck," the Spaniard said.
"People forget that you get into a bit of a wrong dynamic in front of goal and the ball doesn't go in and it can affect your way of playing.
"The good thing is it hasn't affected us at all. We keep playing well and producing those chances - it's just a matter of time that we get that one chance and then you get that freedom in front of goal and get that composure and pick the right option.
"We've been in this situation time after time and we know how to cope with it. It's not going to be easy and we're going to have to work extremely hard to get any reward but we're ready for it.