Filming for season 5 has begun. According to the article:

Central Texas will continue serving as the backdrop for AMC's "Fear the Walking Dead" in the show's upcoming season.

The New Braunfels Journal reported the zombie series will be filming in the town, about 45 minutes north of San Antonio, during the next "several" months for the fifth season premiering in 2019.

Executive producer Andrew Chambliss told the journal he chose the local textile mill as an area to film.