Reds fans walked out of the match against Sunderland at Anfield last weekend in the 77th minute in protest at what they saw as an unacceptable hike in ticket prices for next season, with the most expensive tickets in the new Main Stand costing £77.
In an open letter principal owner John W Henry, Liverpool chairman Tom Werner and FSG president Mike Gordon expressed their concerns, saying they were "particularly troubled by the perception that we don't care about our supporters, that we are greedy".
Klopp believes their swift action shows that is not the case.
Liverpool back down in row over ticket prices and apologise to fans in a letter (Rex)
"I think in the world of football it is not too easy when you are the owner of a club to prove you are interested in the club," he said.
"I know it, I have been here four and a half months and I know the owners as people.
"They really care about the club and the interests of supporters and it was a clear reaction, a clear sign, and hopefully it is understood for what it is - proof of their real interest in this club and all the things around this club.
"I am really fine with it, it is a good thing."
- Telegraph