Stormers number eight Duane Vermeulen will captain the side in Saturday's clash with the Waratahs in Cape Town.
Regular captain Jean de Villiers will sit out this week with a meniscal cyst, with Damian de Allende starting in his place at inside centre.
Kobus van Wyk will take De Allende's place in the number 14 jersey, with Jaco Taute starting at full-back in place of the injured Gio Aplon and Michael van der Spuy moving onto the bench, having last featured against the Lions in February.
Up front, meanwhile, the fit-again Ruan Botha (ankle) takes the place of Jurie van Vuuren at number four lock in the only change to the pack this week, with Tazz Fuzani (on the bench) the only uncapped member of the matchday 23.
Coetzee paid tribute to incoming skipper Vermeulen, who was a consistent performer for the team on their four-match tour of New Zealand and Australia.
"It's scary to think that Duane is just 27 years old, yet he has already played 68 matches for the Stormers and he continues to get better as a player and a leader," he told the Stormers' official website.
"Players like Duane are the future of this union and it's an exciting opportunity for him to lead the team as we look to get back to winning ways now that we're back at home at Newlands."
Stormers: 15 Jaco Taute, 14 Kobus van Wyk, 13 Juan de Jongh, 12 Damian de Allende, 11 Sailosi Tagicakibau, 10 Peter Grant, 9 Louis Schreuder, 8 Duane Vermeulen (c), 7 Siya Kolisi, 6 Nizaam Carr, 5 Michael Rhodes, 4 Ruan Botha, 3 Frans Malherbe, 2 Deon Fourie, 1 Steven Kitshoff.
Replacements: 16 Stephan Coetzee, 17 Oliver Kebble, 18 Brok Harris, 19 Tazz Fuzani, 20 Sikhumbuzo Notshe, 21 Nic Groom, 22 Demetri Catrakilis, 23 Michael van der Spuy.
Date: Saturday, April 5
Venue: Newlands Stadium, Cape Town
Kick-off: 19.10 local (17.10 GMT)
Referee: Glen Jackson (New Zealand)
Assistant referee: Mike Fraser (New Zealand), Quinton Immelman (South Africa)
Television match official: Shaun Veldsman (South Africa)