Many international players will return to their clubs as late as Friday ahead of the start of the new campaign this weekend after featuring in friendly games on Wednesday.
New Norwich boss Hughton, who will lose four players to international duty ahead of the Canaries' Premier League opener against Fulham on Saturday, is among the managers who feels clubs suffer from having the fixtures so close to the start of the domestic season.
"It's a frustrating time," he told Sky Sports. "Us at Norwich, we lose four players, and I suppose in some ways we've gotten away a little bit lightly. But you've got some players that will be playing on Wednesday night that don't return to their clubs until Friday. Not a good time.
"Certainly, if we have to play this game, can we play the games on Tuesday as opposed to Wednesday."
Southampton manager Adkins will see his side mark their return to the top flight with a tough encounter against reigning champions Manchester City on Sunday.
The boss has echoed Hughton in bemoaning the timing of the international fixtures but expects a change to be implemented for next year.
"I don't think anyone is happy with it, but that's the reality," he said.
"We've got two players away as it is, on international duty.
"You've just got to abide by the rule. I know that rule is going to change in the future, because that's been discussed.
"I think you'll find that it's already been changed. That's in place.
"But that's what it is, and you get on with it."
"From my point of view, we've got a game at the weekend against Manchester City. We've got two players away on international duty now. They'll be back with us, all being well, raring to go and looking forward to the weekend's game."
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.