Taking is fine. I am not clear if they want an driver's history extract, as few of them are discussing on the extract, i already have a valid license till 2023 and i have my old licenses(starting 2016) that were cut and gave back to me.Mostly they will take it and give you a Canadian license. So what is the issue if they take it?.
You should first referring to the site rather than calling as they wont be telling you full detail.
https://saaq.gouv.qc.ca/en/drivers-licences/foreign-drivers-licence/