The video posted on Sanchez's Facebook page has been shared more than 46,000 times. The driver wanting to cut in won the game, so Sanchez let him pull ahead.
"I'm still shocked," Sanchez said. "I never expected this (video) to go viral."
Given the anger that can be caused by bumper-to-bumper traffic, Sanchez said he appreciated the other driver being a good sport and playing along.
"Houston traffic makes people even more angry after a long day of work," Sanchez told KTRK.