The Dutchman has made just two starts since signing a two-year deal from FC Utrecht in the summer due to a knee injury.
Despite his slow start at Dean Court, Demouge has made it clear he is focused on making a success of his time on the south coast.
The 30-year-old told the Bournemouth Echo: "I want to repay the club for signing me and I want to show the fans what I can do. That is why I'm here.
"Maybe my English is not that good and people will write some wrong words. I don't care what they write or say about me.
"I know what I want, I know I'm not finished here and I want to show the people of Bournemouth what I can do."