The English and European champions were again without a number of their big names due to a combination of injuries, suspensions and international call-ups but ground out a fifth straight win in the Premiership.
Both Mike Ellery and Brad Barritt went over for Sarries, but it was the boot of fly-half Alex Lozowski that made the difference, with three second-half penalties eventually seeing off the Cherry and Whites.
Director of rugby McCall admitted afterwards that he side struggled to gel at times on Sunday but has praised the spirit they showed in battling past David Humphreys' side.
"It was a game that could have gone either way," he said. "I guess at this time of year these kind of games are just about getting the result and we were fortunate enough to get that result.
"None of it was perfect, far from it, but I did think we showed resilience at crucial times to bounce back from a couple of pretty poor scores from our part and then we just did enough in the second half to eek our way over the line."