Souttar started alongside Goldson in the back four for Giovanni van Bronckhorst’s side on Saturday as they defeated Livingston 2-1 at the Tony Macaroni Arena.
While it would eventually prove to be a fruitful day for Rangers, individually Souttar struggled before being hooked on 67 minutes with his side still a goal down. James Sands took his place as the Ibrox club quickly overturned the deficit, going from 1-0 down to 2-1 up inside seven minutes as Scott Arfield and James Tavernier scored.
It wasn’t the ideal start for Souttar, who signed a pre-contract with Rangers before moving from Tynecastle this summer. He’ll also have to fight off competition from £4 million signing Ben Davies to keep his place in the side once the ex-Liverpool defender is fully fit.
Ken Buchanan: Statue of Scottish boxing legend unveiled on Edinburghs’s Leith Walk
Robbie Neilson reveals Hearts' chances of a new signing for Zurich tie - plus Alex Cochrane and Craig Halkett injury update
Exclusive: Hibs injury boost as two players in contention for return against Rangers
Hibs chairman Ron Gordon excited over future of Scottish football as action plan put in place
Former Hearts striker steps out of 'comfort zone' with move to Turkish top flight
Goldson insists Souttar has already proven his worth to his new team-mates as he hit back at criticism of the Scottish international on social media.
"I've been really, really impressed by him from the first week," he said. "I was disappointed on Saturday because I saw a few things on the internet and things like that, people obviously talking bad just because he's had one game where he probably made a few mistakes.
"We've all been there, I've been written off plenty of times by Rangers fans but I see him every single day so I have no doubts at all he's going to be an unbelievable signing for this football club."