Not all Hispanic or Spanish-language newspapers in the U.S. serve a Mexican-American readership. There are a large number of newspapers that specialize in serving readers form other countries of origin. From Brazilian papers written in Portuguese, to Puerto Rican newspapers in New York City, the options are very well defined. To maximize appeal, such papers actually serve multiple communities, and use ROP special sections within the paper to highlight international news from different countries.
Heavy concentrations of non-Mexican papers exist in New York, Miami and Philadelphia, but are not exclusive to those markets.