Marsh, who missed the start of the season with a calf strain, injured a hamstring when he slipped running between wickets at the MCG on Tuesday night.
The incident occurred early in the classy left-hander's innings and the injury clearly hampered Marsh, who was unable to run anywhere near top speed.
It didn't stop him playing an important role, posting 32 off 35 deliveries.
Martin Guptill scored 32 off 27, with the pair's 51-run partnership and a late blast from Mackenzie Harvey (32 not out off 23) helping the Renegades reach 7-141 after they were sent in.
Marsh was eventually out to Stars paceman Trent Boult, lofting a simple catch to Nathan Coulter-Nile at mid-off.
Confirming the hamstring injury, Renegades officials said Marsh would not field.
Marsh's latest setback comes after the Renegades lost captain Nic Maddinson (knee) and experienced batter Peter Handscomb (heat stress) in their previous game.
Kiwi quick Boult (2-23) and English import Luke Wood (2-29) delivered the Stars' best figures.
Versatile bowler Beau Webster (1-30) used a mix of medium pace and off-spin to good effect, with the former bringing Guptill undone when Webster gleefully accepted a return catch.
Renegades stand-in captain Aaron Finch (one) was out cheaply when he nicked Boult behind.
Finch was initially given not out but the Stars challenged the call, which was reversed on review when a clear edge was shown.
Jon Wells (24 off 18) was a handy contributor before falling victim to Coulter-Nile (1-35).
Stars captain Adam Zampa bowled four tight overs, claiming 1-18.
But there was late controversy when Zampa attempted to Mankad batter Tom Rogers.
A review led to Rogers being given not out because Zampa's bowling arm had gone past vertical before he reached back to knock the bails off.
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