Norwood was designated for assignment by the Padres on Saturday.
Norwood will vacate his 40-man roster spot to clear space for Kyle Tyler, who was claimed off waivers from the Red Sox. Norwood's 3.67 ERA in 27 career major-league innings gives him some hope of being claimed himself, though that's come with an 18.5 percent strikeout rate and 13.1 percent walk rate.