Yes. You can apply and count your work experience in Quebec.
If you plan to live in Quebec, you must apply to the Ministère de l’Immigration, de la Diversité et de l’Inclusion du Québec. Quebec selects its own immigrants.
Note: Completing an Express Entry profile is the first step to immigrate to Canada permanently as a skilled worker. Completing an Express Entry profile does not guarantee that you will receive an Invitation to Apply for permanent residence. An Invitation to Apply for permanent residence will be based on your score and rank in the Express Entry pool using the Comprehensive Ranking System.