Can you sweat out chills

A cold is caused by a virus: there is no cure. Make yourself comfortable, drink plenty of water, and just generally try to relax. Any fever associated with a cold can be controlled by paracetamol, otherwise it's not a good idea to induce sweating since this results in dehydration which is the very last thing you need. Bed, a good book, music, anything to relax you will cut short the duration of your cold. If it lasts more than a few days you may have influenza, in which case you need medical attention and will be out of action for at least another week.