Instead, try other methods that might break the frozen connection between the door and the floor. For example, you can use a heat gun or hair dryer to melt the ice and free the door. Standard de-icing products can also work. And if you are careful not to damage the door or the seal on the bottom of the door, you can use a flat shovel or similar tool to chip away at the ice.
I'm not a professional, but I watched as my garage doors were serviced last year. The tech used a spray lubricant (I had bought a different brand in the garage door section of a home improvement store). He sprayed the inside of the entire track, top and bottom, the rollers that ride along the track, and all hinges on the door. He sprayed each hinge twice -- once on each side. The techs were more generous with the lubricant than I was when I'd done it before, so don't be afraid to give it a good squirt.