In the first ever FA Cup meeting between the sides, things got even better for the Welsh side when Bersant Celina curled home a well-worked second goal in the 28th minute. He was raised in Norway after his family fled the war in Kosovo and was picked up by Manchester City as a teenager and was coached by Patrick Vieria at the club's much-vaunted Academy.
Guardiola did not win a trophy in his debut campaign in England - the first season in his coaching career where he ended up without silverware - before leading City to the Premier League and League Cup in record-breaking fashion last season. I don't like to win games when decisions are wrong.
City have won three Premier League titles in the past seven seasons, plus several domestic cups, but have only reached the Champions League semi-finals on one occasion, when they lost to Real Madrid in 2016.
'I don't like to lose games when the decisions are wrong but the referees don't want to make wrong decisions, but they must be helped.
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Swansea players were unhappy when Cameron Carter-Vickers was judged to have tripped substitute Raheem Sterling for the equaliser, while Sergio Aguero was offside when he headed in the victor two minutes from the end.
Swansea said the club was set up to use VAR given their history of being in the Premier League between 2011 and 2018.
"I'm sorry it was offside", Guardiola said afterwards of the victor.
Then Bernardo Silva pulled one back, a most generous penalty gifted them an equaliser, and Sergio Aguero scored an offside late victor.
The Liberty Stadium is equipped for VAR but because other Championship grounds are not, it was not operated for the sake of consistency.