"Fighting for everything is the most important thing for the club", he said.
The technology is in use in the FA Cup and was available at the Liberty Stadium last season, but the Football Association is reported to have opted against equipping the ground with VAR since their relegation to the Championship.
The win saw City keep their hopes of winning a famous quadruple alive, though Guardiola is not getting carried away thinking about such achievements.
After City's shock exit to League One Wigan Athletic in last season's FA Cup, Guardiola's side were facing another humbling at lower league opponents after Matt Grimes penalty and a brilliant strike from ex-Academy player Bersant Celina.
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"People will say not winning the Champions League is a big, big failure for this club but I don't understand when this comes from former players - they know how hard it is to win the Champions League or win the title", Guardiola said.
The Premier League side struggled to break Swansea down after the break, but Bernardo Silva's goal in the 68th minute got City back in the match.
Substitute Aguero beat Swansea keeper Kristoffer Nordfeldt with a diving header, although replays showed the Argentina striker was marginally offside. Not only did they dominate possession, not only did they outshoot the hosts 22-5 overall and 9-2 on goal, several of their chances missed by the thinnest of margins. "I know I'll be a failure if I don't win all the titles, I'm sorry", the City boss quipped. Swansea's players of a Premier League disposition -...