The Gers played out a 1-1 draw with Queens in the Scottish Premiership playoffs to retain their chances of promotion to the top flight.
Having won the first leg of the quarter-final tie 2-1 away from home at Palmerston Park in Dumfries last weekend, Rangers needed just a draw to go through today.
The Scottish giants achieved just that, playing out a 1-1 draw with their visitors at Ibrox to win the tie 3-2 on aggregate.
Derek Lyle put Queens in the lead in the 35th minute with a header, but on the hour mark Lee Wallace restored party for the Gers.
Over the course of the 90 minutes, Rangers had 54% of the possession, took 11 shots of which six were on target and earned five corners.
Following the match, manager McCall expressed his delight at his side’s progress to the semi-finals.
“I was pleased with a lot of the first-half play,” the Scot told BBC Sport. “We found a way to get through and I'm proud of the lads for that.”
Rangers will now face Hibernian in the semi-finals of the playoffs. Looking ahead to the tie, McCall said: “I am confident that we'll be ready on Wednesday.
“It can work in two ways - Hibs have had 18 days off and we've had two tough games. I am just focusing on getting through the next round.”
The winners of the tie between Hibernian and Rangers will face the 11th-placed side in the Premiership for a place in the Scottish top flight next season.