Head Coach Smith has made six alterations to his starting XV as his players look to claim a first away win of the season.
Five of the six changes see Scotland players returning after the Autumn Nations Series, with Ryan Wilson's inclusion at blindside flank the only exception.
Sintu Manjezi continues his run of being involved in each of his team's 2022/23 fixtures to date, with Richie Gray partnering the South African in the second-row having completed World Rugby's Coaching Intervention Programme and reduced his three-week suspension by one week.
Sione Vailanu is the only member of the back-row that took to the field in Dublin last weekend to retain his place, as Wilson is included on the blindside and Matt Fagerson comes in to start at number eight.
The half-backs are unchanged, meaning that George Horne and Tom Jordan combine once again, the latter the only back to have featured in each of Glasgow's opening seven BKT United Rugby Championship matches so far this season.
Speaking following selection, Head Coach Smith told glasgowwarriors.org: "We're looking forward to the challenge of Zebre tomorrow in Parma and we're pleased to welcome back a number of internationals for it.
"Against Leinster we created a number of opportunities, however, we weren't able to convert those into points.
"Tomorrow's game is an opportunity for us to play our brand of rugby and showcase the hard work we have put in in training this week."
15 Ollie Smith (20)
Unavailable for selection: Scott Cummings (foot) Allan Dell (calf), Rory Darge (ankle), Cole Forbes (neck) Tom Gordon (calf), Sam Johnson (jaw), Enrique Pieretto (chest), Alex Samuel (back), Ross Thompson (ankle), Duncan Weir (calf)