Applicants nominated by a Canadian province or territory can apply for Canadian permanent resident visas. If you choose to immigrate to canada as a provincial nominee, you have to apply to your selected province or territory. The province of Quebec does not have a PNP. See their immigration website to learn more about their programs.
The particular province will consider your application based on its immigration needs and your genuine intention to settle there. A province/territory nominates applicants whose skills, education and work experience match with the demands of the province. The province/territory expects an immediate economic contribution to the province from the nominee. After getting the nomination, the applicant must make a separate application to Citizenship and Immigration Canada for permanent residence. Since January 1, 2015 many provinces and territories have launched new express entry streams. Check their websites to learn more about which streams they offer.