The West Yorkshire club confirmed last week thay had rejected two offers from Premier League clubs for England Under-21 international Delph, while others had shown interest in Beckford, who struck 34 goals last season.
Grayson said: "They played on Sunday and were on the plane to Ireland with us on Monday. They're under contract here. It's well documented that we had the bids, but they're our players.
"I've had a chat with them both. I've re-iterated what I expect, but I think they showed that themselves at York. There was no going through the motions for either of them.
"It'll be a group decision if anything changes, but whatever happens it will be the right decision for the club.
"They're both working hard and will be fit and ready to go for August 8 - that's all they can do. They will be focused, no doubt about that."