The Tigers were trailing 2-1 in the fourth inning when they erupted for six runs.
Sanchez (4-3) controlled the Astros on two runs over seven innings, yielding six hits and a walk while striking out eight as the Tigers took the opener of a three-game series.
Norris (4-4) was rocked for seven runs on nine hits over five full frames.
Robbie Grossman went 2-for-4 with an RBI for Houston, which dropped a fifth straight.
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
Beautician charged with giving client fatal silicone butt injection