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Thanks.

It looks like renouncement of PR status can take months to process.

You can certainly try but there is a good chance that TRV will be refused. I would include proof that you have applied to renounce PR status.
 
> I would include proof that you have applied to renounce PR status.

Thanks for the response. Are you implying that I can apply a TRV by including a proof of the renouncement? Will they wait until the renouncement is settled?
 
> I would include proof that you have applied to renounce PR status.

Thanks for the response. Are you implying that I can apply a TRV by including a proof of the renouncement? Will they wait until the renouncement is settled?

Why not travel to Canada before your PR card expires? It would be more quicker than getting a TRV. You might be able to enter more sooner.