The Latics have won just one of the last nine league matches, a run of results which have seen them slide into the relegation zone and put pressure on Martinez.
The Spaniard has had a bad run of luck with injuries and suspensions in that time and remains confident that once he has a full squad available Wigan will be able to escape the drop zone.
“We are focused on ourselves and we will respect everyone and it’s great to have people talking about Wigan Athletic, but we know where we have to improve and we will carry on working,” he said.
“We all agree that we have not been able to get the points our performances deserve, so then you get in a position in the table where it is easy to come up with that sort of comment.
“We need to fulfill our potential and show what we can do.”
Watford boss Javi Gracia does not think Abdoulaye Doucoure's form will be affected by his omission from France's latest squad.