Central american red brocket (Mazama temama) may not be common in US zoos, but they are the only Mazama spp. currently in captivity in the United States, other Brocket species that have been in the United States include
Yucatan brown brocket (Mazama pandora) at Gladys Porter Zoo and Los Angeles Zoo in the 1970s
Gray brocket (Mazama gouazoubira) at Phildadelphia Zoo in the 1940s and 1950s
Northeast south american red brocket (Mazama americana americana) at the Smithsonian National Zoo in the 1910s and 1920s
Costa rican red brocket (Mazama americana cerasina) at Bronx Zoo, Bergen County Zoo, Little Rock Zoo and a few other places at different times
And
Trinidad red brocket (Mazama americana trinitatis) at Smithsonian National Zoo in the 1920s
Going back to Central american red brockets, besides Gladys Porter Zoo, in the United States, you can also see them at St. Augustine Alligator Farm, Phoenix Zoo, and Bergen County Zoo and out of those zoos I think Gladys Porter Zoo has the largest population of them
