No - there is no such visa or application. Having a Canadian citizen child does not entitle you to remain in Canada.
If you wish to remain in Canada, you will have to qualify and apply to extend your stay just like anyone else would. If you're here on a closed work permit, this means you would need to secure a full time job offer either from your current employer or a new employer, that employer would need to obtain an approved LMIA and you would then have to apply for a new work permit.
