The midfielder struck twice in the second half at Dudgeon Park to hand the Light Blues a comfortable victory over the Highland League outfit.
Manager Ally McCoist was pleased with the workout, as Rangers prepare for their first competitive match against Albion Rovers in the Ramsdens Cup on July 28.
He told the club's website: "It was a good exercise and it was a pleasing afternoon.
"The new signings all made a good impact. Jon Daly and Nicky Clark combined well and Nicky Law showed what a good player he can be.
"There were a lot of positives and it's very, very early but most of the boys had a good 45 minutes, which gave us something to kick on from."
Meanwhile, Rangers have revealed that more than 30,000 fans have renewed their season tickets ahead of the new campaign in the Second Division.
Season tickets go on public sale this week and McCoist added: "Our fans have backed the club yet again in great numbers and I can't thank them enough for their continued support."