Rep.-elect Mark Amodei (R-Nev.) held up his win in Tuesday's special House election as a sign of more good things to come for Republicans hoping to unseat President Obama and hold a Nevada Senate seat in 2012.

Amodei, a former state lawmaker, delivered a staggering defeat to Nevada state Treasurer Kate Marshall (D) in the race to fill former Rep. Dean Heller's (R-Nev.) old seat. Heller left the House after being appointed to an open Senate seat, and next year, he will face off with Rep. Shelley Berkley (D-Nev.) in a bid for a full term as senator.

"If you're looking toward 2012, with this being right on the doorstep of the Dean Heller-Shelley Berkley race, it means a lot," Amodei said Wednesday on Fox News. "I think this is a very good sign for the GOP presidential contenders."

Democrats have been trying to quuash assumptions that they are left in a weak political position following Marshall's loss by 23 points in Nevada and another Tuesday race in New York, where a Republican won a longtime Democratic seat.

Amodei also said GOP presidential candidate Mitt Romney had called to congratulate him on his victory. He said the former Massachusetts governor expressed excitement about the win and what it meant for the GOP's prospects in Nevada in 2012.