The OS is oblivious to the presence of the wireless router. At best it knows it’s either connected via wire to another Ethernet device, or a wireless access point. But it's clueless as to whether that's ultimately a router, cable/dsl modem, PC, laptop, XBOX, etc. All it knows are the standard interfaces and protocols used by remote devices, not the particulars of the device that implement them.
So whatever is causing your problems isn’t a compatibility issue w/ Windows 7, at least not directly. Indirectly, there may be an issue w/ an installed wireless adapter and each time it attempts to access the wireless router, it fails. But that’s a problem of the wireless adapter, not the wireless router (or the combination of that particular router and that particular adapter).
Can you at least get a wired connection working?