The deal sees the 30-year-old move from the Goldsands Stadium back to his native Holland until the end of the season.
Demouge signed from Utrecht in the summer of 2012, but has not featured for the first team since the defeat to Crawley Town at the start of October, during which he sustained concussion and a broken nose.
“I can help Roda," Demouge reportedly told elfvoetbal.nl. "We must quickly look up in instead of down."
“I’m happy to be back in the Netherlands. Roda is a nice club to play football.”
Roda’s general manager Marcel van den Bunder told rodajc.nl, “We are happy that, just before the end of the transfer period, we have added Frank to our squad.
“Frank is a Dutch boy with a lot of experience in the Eredivisie.”
Roda JC currently lie 16th in the Dutch top flight, and Demouge will be eligible for selection to face Heracles this Saturday subject to international clearance.