Interestingly, American Marmota species are rarely displayed. Marmota monax, the Woodchuck is the most frequently seen, but most usually as a program animal rather than on exhibit.
Several decades ago, when both EAZA and AZA were first established, both organisations mutualy agreed to not establish breeding programs of european species in North American zoos, and North American species in Europe. The reason behind it - both regions are wealthy and stable anough to be able to run rescue programs for its own endangered species. From financial, logistical and neozoen point of view, it makes no sense to have f.e. black-footed ferret breeding program in Europe, or european mink program in the US.
This is a reason most breeding of such animals has been stopped in respective zoos and European species like Alpine marmot is non-recommended species in America.
