Since everybody here is an expert in semantics, the answer is YES you can fly in the US with a PPL issued by an ICAO member state.
You can fly as much as you like; you can not log it PIC so you will have to take a FAA certified flight instructor aboard.
If you wish to log PIC, here is the link to the FAA website explaining the process to apply for a US license based on your ICAO PPL:
http://www.faa.gov/licenses_certific..._verification/