So you pulled a pad off. It happens. FYI, you probably left the soldering iron in one place for too long. And no, you cannot just solder a switch there -- there is nothing to solder the switch TO without the pad.

But if you could actually do that, it would be fine for as long as the solder joint lasted.
Here is what they are saying about a jumper.
The "ring" that is missing has a trace going somewhere, I can't see it in your photo because it starts on the other side of the PCB, and then jumps between the top and bottom layer through the little dots (called "vias"). But the thing to do is to figure out where the trace from that hole eventually leads, and then to solder a small wire from the connector ("pin") on the switch TO the next component or pad where that trace leads.
The little wire will then "jump" from the switch to the place the trace led. Thus, a "jumper wire".
Wire from an Ethernet cable is a good size for this purpose.
Your next step is to very carefully figure out where that trace leads. Look in both directions, because everywhere along a trace is electrically identical. If you are lucky, that switch pin connects to an identical pin above or below. If so, you can easily solder a jumper between the two pins. It may also lead to a tiny diode, in which case you will have to solder the jumper to the correct end of the diode -- without lifting the diode either.
Good luck!
- Ron | samwisekoi