It depends on your plumbing system configuration. It can be connected to an existing vent in your basement area for as long as the pipe you’re connecting it to acts as a vent only / there’s no other plumbing fixtures draining into it on any floors above the basement.
If you have a single vent (soil) stack in your basement, there are most likely some plumbing fixtures tied to it on the floor(s) above. Check pipes under your kitchen or if you have a basement laundry – next to the laundry drain. There might be two pipes coming into the basement from under the kitchen sink – one of them is usually a vent which also serves the laundry drain – you could use it if the sizing is OK.
If there are no other pipes in the basement except for the main vent (soil) stack, you should tie Quick John above the highest fixture connected to that vent stack, or run it to the attic / through the roof.
Let me know if it helped…