Last week's comprehensive 3-0 victory at Reading moved the Latics out of the relegation zone - albeit only on goal difference.
Four of their six Premier League victories have come on their travels, with just 10 out of 24 points collected at their own DW Stadium.
On Saturday they entertain Liverpool, who have not won at Wigan in their last four visits, a sequence that includes three draws.
And Martinez said: "We have a very good record at home against Liverpool over the last four seasons and it is one of those moments of the season - we need to embrace those final six games at the DW Stadium.
"Our performances have been very good but our results haven't been able to match that.
"There are certain margins we need to affect. We need to improve in certain aspects and that should start on Saturday.
"They are a very difficult side but we need to create a special atmosphere in our own environment."
This weekend, Wigan supporters are planning to congregate en masse in the DW Stadium car park to cheer the team as they arrive to tackle Liverpool. They tried something similar before a game against West Brom last March as Wigan lay bottom of the table.
Wigan played out a 1-1 draw with the Baggies that day but what followed was a remarkable upturn in form which carried them to safety, winning seven of their last nine games - a run which started with victory over Liverpool and included further wins against Manchester United and Arsenal - to beat the drop.
Martinez added: "This initiative was a turning point last season and I do hope this can change around the results we have had at home so far.
"It is one of the many examples we have got of how much the fans get involved and how important they are in our preparations and what we do on the pitch.
"The players were shocked to see a lot of fans waiting in the car park and after that they came in with a completely different mental approach.
"They were very happy and they had that positive belief, knowing how important the game was going to be and the rest the season.
"This is our eighth season in the Premier League and we have been fighting with everything to get into the ninth.
"We are developing a strong structure underneath us and the fans are vital for that.
"The fans, and the way they conduct themselves, are one of the reasons we have been able to be successful over the years."