The Gers won the first leg of the Scottish Premiership semi-final tie to put themselves in the driving seat.
Nicky Clark put Rangers in the lead on the stroke of half time, and Kenny Miller scored the second in the 63rd minute.
Newcastle United-owned attacking midfielder Haris Vuckic played a key role in both of those goals, as the youngster continued to show his qualify for the Scottish giants.
Over the course of the 90 minutes, Rangers had 53% of the possession, took six shots of which five were on target, and earned one corner.
In contrast, Hibs had 47% of the possession, but the visitors took eight shots of which only one was target and earned 13 corners.
After the match, McCall admitted that Hibs played well and told BBC Sport: “I think the scoreline flattered us.
“You could tell Hibs were the fresher side. Our energy levels dropped late on and full credit to our lads who defended ever so well.”
However, the Scot was pleased with the effort put in by his players and stated: “When questions have been asked in big games since we came, the lads have stood up. There is a real steely determination there.
"It was a tough slog but we got two quality goals. That's two clean sheets against Hibs back-to-back now and we'll need to be ready again on Saturday.”
The second leg of the playoff semi-final will be held at Easter Road on Saturday. Rangers will head into the game as favourites, as they have a two-goal lead.
However, the Gers should not get complacent. If Hibernian get an early goal, then it could become tough for Rangers.