The statement is - False.
While the Aztecs and the Maya civilizations were in the so called region of Mesoamerica (corresponds with Central America), the Anasazi civilization was located totally on North American soil, thus out of the Mesoamerican region.
The Aztec and Maya people were spread on the territories of what is now Mexico, Belize, and Guatemala in general, while the Anasazi were located in New Mexico, Colorado, Utah, and Arizona.