McQuaid had urged the Canadian Cycling Association (CCA) to put themselves forward after Quebec successfully hosted two events this year, the Mountain Bike World Championships and the Para-Cycling World Championships.
If successful it will be the third time that Canada has staged the event.
The first occasion was in 1974 when it was held in Montreal as a test event for the Olympics two years later and then again in Hamilton, Ontario, in 2003.
This year's event was held in Geelong in Australia where the winners included Britain's Emma Pooley (pictured), who took victory in the time trial.
The Mountain Bike World Championships were held at Mont-Sainte-Anne in Quebec, which McQuaid believes would make the ideal location for the Road Championships.
Quebec also held two highly successful one-day ProTour races in September in Montreal and Quebec City, the first two ProTour races in North America.
The CCA has not named a specific city in their bid, but they are accepting bids for candidature from eligible organising committees.
The full candidature is due to be filed to the CCA by December 7 of this year.
The CCA's final choice will be announced on December 15 with the UCI announcing its choice during the 2011 Road World Championships in Copenhagen
The UCI will unveil the chosen location during the 2011 Road World Championships in Copenhagen next September.