Parental sponsorship is by lottery and based on LICO. The lottery opens once a year. You may never be selected and many aren’t. So no you can’t sponsor them by having them in Canada on a super visa.
I’m referring to the one which is without lottery and that have income requirements and take 20 to 24 month
How long does it take to sponsor parents to Canada?
The estimated application processing times to sponsor your parent or grandparent to live with you in Canada is approximately 20 to 24 months, so it’s best to get the process started as soon as possible.
Can my parents stay permanently in Canada?
Yes, when you apply through the family sponsorship program your parent or grandparents will be able to apply for permanent residence.
How Do I Apply?
Step 1. Check if you’re eligible.
Step 2. Submit an online interest to sponsor your parents or grandparents.
Step 3. If successful, you will receive an invitation to apply to sponsor your parents and/or grandparents to immigrate to Canada