The side of Steve Bruce, who has been linked with the vacant manager's seat at Sunderland, suffered the loss of Emile Heskey, Wilson Palacios and Ryan Taylor in the winter transfer window.
It is also expected that Wigan will have to find a replacement for rumoured Manchester United and Real Madrid target Antonio Valencia this summer.
And Bramble is keen for his club to send a message to the rest of the football world by offering Scharner, who is understood to be keen on joining a club that will be playing in Europe, fresh terms at the JJB Stadium.
"Scharner obviously is a great player so we are going to try our best to keep hold of him because we want to prove that we are not a selling club and we want to build for the future," Bramble told the Wigan Evening Post.
Fingers crossed"So fingers crossed the manager talks to him and can persuade him to stay.
Meanwhile, Wigan have announced that Tomasz Cywka and Tomasz Kupisz have signed new deals.
Bruce said: "These boys, as well as the likes of Callum McManaman and Jon Routledge, form the future of the club, and it pleases me greatly that we have the healthiest squad of young players coming through at the moment since I've been here."
Poland Under 21 international Cywka told Wigan's official website: "I'm happy to sign. My plan now is to try and move to the next level and try and make it into the first-team squad."
Kupisz, who represents Poland at U19 level, said: "I have been happy at Wigan and I feel my game has come on. But I want to play first-team football and my ambition is to do that here at Wigan."