Yes. The post-graduation work permit is an “open” work permit, meaning that you can work for any Canadian employer unless there are restrictions listed on the work permit.  Keep in mind that skilled work experience is needed to qualify for the Canadian Experience Class. Skilled work experience means working in an occupation that is listed under the National Occupational Classification (NOC) at TEER 0, 1, 2 or 3.
More information on 2021 NOC codes is available on Employment and Social Development Canada’s website.
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.