City drew 0-0 with South Korean club Gangwon FC on Wednesday night to finish fifth in the east division and tee up a round-of-16 tie with Thai champions Buriram United in March.
Now, they will return their focus to their A-League Men championship defence.
For a third time this season, City (seventh, 22 points) will follow a continental match with a Saturday clash, this time against arch-rivals Melbourne Victory (sixth, 24 points).
In November, City beat Victory 2-0 just two days after arriving back from facing Machida Zelvia in Japan, while their rivals won 1-0 in December, 10 days after City's trip to play FC Seoul.
This time, it at least hasn't immediately followed overseas travel, as City played at AAMI Park on Wednesday night - the same venue as Saturday's derby.
City have been bemused by the scheduling of the three derbies.'
When asked if the club had spoken to the Australian Professional Leagues about it, a laughing Vidmar said: "Pedj (football operations boss Pedj Radinovic) is asking all the questions, not sure we're getting many answers."
City rested players like Marcus Younis and Nathaniel Atkinson on Wednesday and heavily rotated their squad to prepare for Saturday.
The game kicked off at 9pm and Vidmar expected players wouldn't get to bed until two or three in the morning.
"We'll have a recovery late afternoon, and then we go back into Casey (Fields, for training on Friday) and prepare for Saturday," he said.
"So very, very short turnaround. We've done it so many times, and they know what to do.
"They'll look after themselves, eat well, rest well - as much as they can - and then it's going to be an intense game on Saturday, for sure."
Playmaker Andreas Kuen was unfazed by the tight turnaround.
"For me, I like to play against every three, four days," the Austrian gun said.
"So this is the life of a footballer, we go out and compete and try to win every game."
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