"If you're in a good team and playing well, there will always be interest in you," Brown told the Daily Record.
"Fraser (Forster) has a year left at Newcastle and I'd love to see him back with us but I don't know what will happen.
"Gary (Hooper) is still signed to the club and we hope he stays. There's the lure of the Premier League but we've the lure of the Champions League if we get through our qualifiers.
"So I hope he stays. He's one of those strikers you love to play with. He comes to feet, he goes over the top and can score 30 goals a season.
"The Champions League is the tournament you want to be in. It's going to be hard to go down to England and experience that because you've got the big four or five teams fighting it out for places.
"England is for some people and not for others. I enjoy being at Celtic and have no intention of leaving. That's why I was delighted to sign my new deal."