There are no foreign military bases as classically defined on the US mainland. The US does host significant numbers of foreign troops for training purposes, but those guests are on US military facilities.

I do not know, however, if there are any foreign bases in any US territories.

There are a number of historical reasons why there aren't foreign bases on US soil. The easiest way to answer the question is to ask - how would it benefit a foreign nation to have an outpost in the US? Consider that question for any time in the 20th century. What countries are interested or would be encouraged by the US to project power at regions within striking distance from where those bases could be? The conditions have not existed that would allow another country to force the US to allow bases on its soil, nor have the conditions existed for it been viewed by American policymakers as something to encourage, nor is it in the best interests of outward facing nations to do so.

There is a German Air Force tactical training center at Holloman AFB in New Mexico. 650 German military personnel as of 2006. Iv read of alota British, Japanese and Canadian troops coming to the US bases to train but they dont actually hold any land or an entire base to themselves.

NORAD is often under the command of a Canadian general. So I guess the NORAD installations could be characterized as Canadian/American.

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