The recall for Parks is particularly notable considering the Australia-born Glasgow Warriors fly-half was left out of the autumn Test series and did not even play for Scotland A against their French counterparts last week.
Curry shook off the soreness in his ankle to score 22 of his 31 points in a spectacular third quarter, leading the Warriors past the Denver Nuggets 115-101 on Sunday night for a commanding 3-1 series lead.
Jones again incurred the wrath of the Warriors supporters when he awarded Munster a penalty - despite the fact veteran Irish hooker Frankie Sheehan had landed a series of unprovoked punches on opposite number Thomson when a scrum disintegrated.