The fan, sitting behind first base, apparently got on Guillen after he hit a liner off the left-field wall and stopped with a single in the second inning and again after he flied out in the fourth.
"I understand who I am and the money that I'm making. I understand that I'm hitting .250 and the fans are expecting a lot more than they're seeing," Guillen said.
"But sometimes they don't know what I'm going through and all that stuff. Just like when I got that hit to left field, I got there and the guy started jumping on me and saying all kind of stuff like 'Why didn't you make it to second?' I hit the ball hard, the guy made a nice play and I had no chance to make it."
Teammates interceded during the exchange and the incident was over quickly.
"He said something personal about my family and I don't deal with that. He can say whatever he wants to say but if you just say the magic words about somebody that's close to you, that's enough right there," Guillen said.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.