Normally you just search for chipset name/model like 'rt5370 linux kernel driver'.
Another good source of information is https://en.wikipedia.org/wiki/Comparison_of_open-source_wireless_drivers
You can see there that 5370 is served by rt2800usb.
Here is a reverse process, but sometimes it is good to verify the initial guess:
This is a page about rt2800usb: https://wireless.wiki.kernel.org/en/users/drivers/rt2800usb
RT5370 is not there, but if you will click on device list there, you will see the entry with 5370:
Ralink RT5370 RT5370 0x148f 0x5370