Is there any option for native playing Quake on OS X 10.7 and above?
Yes there is actually a way to play Quake but you'll need the CD contents of the original Quake (or play a shareware version).
Personally I have only been able to get this to work using GLQuake/Quake provided by that link.
You can download shareware quake By ID Software (6.7 MB) here. (which is free)
Steps to install:
Once you have the original disk and its files, you can choose from a number of modern, maintained Quake clients. From that list, the Mac-native ones are ProQuake+, ProQuake v3.5 (GL), Fitzquake SDL, and Darkplaces.
That page also provides a link to the original, ancient GLQuake, but it's neither modern nor maintained. It'll do the job, but the others are all improvements on GLQuake and will probably serve you better.