Shroud is a static ability defined in CR 702.18a: "Shroud means 'This permanent or player can't be the target of spells or abilities.'" This applies universally — it doesn't matter who controls the creature or who controls the spell/ability doing the targeting.
So if your creature has shroud, you cannot target it with your own spells (like Giant Growth) or abilities (like an Equipment's equip ability). Neither can your opponents target it.
This is a key distinction between Shroud and Hexproof. Hexproof (CR 702.11a) only prevents opponents from targeting the creature — you can still target your own hexproof creatures. If you want to buff your own creatures safely, hexproof is the friendlier ability.
Unofficial fan resource — not affiliated with or endorsed by Wizards of the Coast. Answers are AI-generated estimates grounded in the Comprehensive Rules and are not a substitute for an official judge. Verify anything match-critical.