Following two goalless draws from their opening two games against Port Vale and Accrington Stanley respectively, McCall's men picked up their maiden victory of the 2016/2017 campaign thanks to Jordy Hiwula's first half winner at Peterborough's ABAX Stadium.
The Bantams' efforts against Vale and Accrington arguably merited victories from both of those matches, and McCall was pleased to see City make it third time lucky at Peterborough.
McCall said: "I'm so pleased for the players and the supporters.
"This match is probably the first time this season we can say that we've got what we deserved.
"It was an outstanding collective performance from the lads.
"We could have made it more comfortable for ourselves - we had a couple of good chances in the second half - but we have to remember we are only working with probably 13 or 14 senior players at the moment.
"That is obviously because of the few minor injuries we have around so we know we will get stronger."
After rejoining the club on loan earlier in the week, Josh Cullen put in an eye-catching performance on his second debut for the club at Peterborough. McCall says every member of his side deserved praise, however, following a determined performance from the men in claret and amber.
McCall added: "The effort, commitment and desire from the lads, coupled with their play going forward, was fantastic. The togetherness of the group is brilliant at the moment and they got what they deserved today (Saturday).
"It would be harsh to single one player out. You could go through the whole side and pick out some outstanding performances.
"To come to a side who have scored six goals in their first two games and keep a clean sheet is also a positive.
"This is only one game but we will be able to take a lot from it."