Matt Sale's father is an unseen character in Season 1 of Fear the Walking Dead.
Not much is known about Matt's father before the outbreak, except that he lived in Los Angeles, where he married and became a father.
During the outbreak, Matt's father, as well as his mother were on vacation. Some time after Matt Sale came down with the infection, both his parents returned home. It is implied, but never shown, that an infected Matt attacked them when they entered the Sale home, as the front door is seen left open and their bags are left in the car.