Republic of Ireland boss Heimir Hallgrimsson made five changes from Friday night's 1-1 draw with Senegal for the trip to Luxembourg.
Max O'Leary made his debut in goal, six years after his first call-up, while Killian Phillips was handed a first start after his lively cameo in Dublin.
Jake O'Brien, Parrott and Evan Ferguson also came into the side as Hallgrimsson looked to assess his squad in their last game before the World Cup qualifiers.
The Icelandic boss had talked pre-game of the importance of a strong performance above a result, but it was a pedestrian first half from his side.
Luxembourg dominated the ball but failed to really test debutant O'Leary until he was called into action on 28 minutes.
The Bristol City stopper was forced to push Danel Sinani's strike behind after he had picked up on a loose pass from Ferguson and raced forward.
The Republic then went close to taking the lead against the run of play two minutes before the break.
Will Smallbone's flighted free-kick was headed into the path of Collins by Dara O'Shea, but the Irish captain's glancing header clipped the post.