Both players have been strongly linked with moves elsewhere this summer but Freedman insists their lack of match action in the last few weeks has been squarely down to injury.
And he expects the duo – plus the returning Chung-Yong Lee – to be in contention by the time the Championship season kicks-off on August 9 at Watford.
“Fans have read a bit too much into it but people know what I’m like – if I’ve got something to say, I’ll say it,” he told The Bolton News.
“Adam is going nowhere, Mark Davies is going nowhere unless they say they want to go, or there is a bid the board feel they have to accept. As we speak, that hasn’t happened.
“They will be back for the fans to see very soon.”
Davies featured for 45 minutes against Brondby and 50 minutes at Mjallby in Wanderers’ first two pre-season outings but Bogdan is yet to make his first start of the summer.
But Freedman says there is no subterfuge involved despite persistent rumours of outside interest in the pair.
“Mark had his toe stamped on and he was having injections to get through matches,” he explained.
“We felt in the end that it wasn’t fair to keep doing that to him.
“He’s going to have a rest this week and then he should be ready to start properly.
“Adam is in full-time training as of now. We’re probably looking at the Port Vale game (next Wednesday) for him to come into the team. We’ve just been very aware of his back injury.
“He has been doing a lot of physical stuff – just hasn’t had the game time – but we expect that to change soon.”