It was reported on Sunday morning that Flower, who has led England to Ashes victory this summer, could quit after the return series in Australia in the winter.
Moores told BBC Radio Five Live's Sportsweek programme: "It's the first I've heard of it. The international circuit is tough, in time away from families.
"If you ask anyone who's on it, they love the fact they are coaching England, and the games, but it's the balance of family life - Andy's got three children.
"If that's starting to give added pressure, I don't know - I've not spoken to Andy about it."
Flower was allowed to delegate responsibility for limited-overs internationals to Ashley Giles last November but the demands on his time remain huge, particularly given the focus on back-to-back Ashes series.
"For all the people at that level, it's a 12-month-a-year job playing or coaching for England," said Moores.
"Andy's got a slight advantage with Ashley Giles coming in, they've split it and I think the whole idea of that was to create more time to balance that.
"I'm sure Andy at the moment will be very focused on, one, finishing this series and two, getting ready for the defence of the Ashes in Australia in the next few months."
Moores is now head coach of Lancashire so is well placed to assess Red Rose spinner Simon Kerrigan's nightmare international debut.
The 24-year-old bowled eight overs for 53 runs in Australia's innings of 492 for nine declared in the fifth Test at the Oval, facing fearsome aggression from Shane Watson and even delivering a head-high full toss which was swatted for four by Steve Smith.
Moores hopes the left-armer, who has taken 47 wickets in LV= County Championship Division Two this season at an average of just over 20, gets another chance to prove his worth.
"It's been a tough one, he was nervous on that first day," he said. "It was a tough toss to lose on a very good pitch.
"I'm hoping he gets another chance to bowl because a lot of people who haven't seen Simon bowl before will only have that impression.
"He's a fine cricketer, he's got in there through taking (almost) 50 wickets this season and bowling very well, but also playing well the last couple of years.
"It's the right time to play him. He's not the finished article but that doesn't mean in the future he won't be a very good player for England."
As for whether Kerrigan will be included in the tour party for the return series, Moores said: "I think it'll be an interesting decision.
"Simon is a very aggressive bowler, very attacking. He gets a lot of five-wicket hauls and has a real impact in the game, certainly in the second innings.
"They also know they've got (James) Tredwell, who's a like-for-like replacement for (Graeme) Swann - off-spinner for off-spinner - so they'll look at that.
"It'll be a tough decision I think. If Simon doesn't go with England, he'll go with the Lions.
"Whatever happens he'll be better for the experience of feeling what an Ashes Test match is like. Until you get out there and have a go, you don't really know what's involved."