If an effect grants a nonland card an ability that allows it to be cast, that ability will continue to apply to the new object that card became after it moved to the stack as a result of being cast this way.
April 8, 2016 · Shadows over Innistrad
If an effect allows a nonland card to be cast, other parts of that effect can find the new object that card becomes after it moves to the stack as a result of being cast this way.
September 30, 2011 · Innistrad
A resolving spell or activated ability can perform actions on an object that moved from one zone to another while that spell was being cast or that ability was being activated, if that object moved to a public zone.