However, injuries to Ivan Ramis, Emerson Boyce and Antolin Alcaraz have left Wigan light at the back and Martinez has revealed that he plans to recruit a couple of players, including former Latic Scharner, before Thursday's 11pm deadline to fill that void.
He said: "Over the next 48 hours I am hoping to bring one or two players in and Paul is one of them.
"Paul could be a perfect replacement because he knows the football club and the Premier League. He is someone who could fit in at centre-half and with the way we play.
"The fans would welcome him with open arms and it is something that I am hoping to have positive news on over the next 48 hours."
Scharner, currently of German outfit Hamburger SV, made 156 Wigan appearances during a five-year spell at the DW Stadium.