McGregor has been linked with Manchester United in one report after chief scout Martin Ferguson watched the Ibrox No 1 produce an outstanding display in Scotland's 3-2 defeat against world champions Spain on Tuesday night.
Impressive: Scotland's Allan McGregor
Striker Beattie is anxious for McGregor to remain with Walter Smith's side for the foreseeable future, but is also adamant the 28-year-old could star with a top side in any of Europe's leading leagues.
'Allan is probably one of the top keepers in Europe, I would have said,' said Beattie, hoping to make his Rangers comeback against Motherwell tomorrow. 'If he keeps playing like he is, then he is going to attract attention. Then it is up to himself and the club to sort out what he wants to do.
'I don't want him to go, but Allan could play anywhere. He is that sort of character. He is very focused and knows what he wants. He wants success and has been carrying a couple of injuries, but he plays through them because he wants to play, succeed and do really well.
'I'm not surprised he's getting interest from top clubs like Manchester United. But it's very important that we keep hold of our top players.'
McGregor is under contract at Rangers until 2013, with the club keen to extend that arrangement further. A £5million fee was mentioned in connection with potential interest from Old Trafford but Beattie declined to put a figure on McGregor's head.
Explore more:People: James Beattie, Walter Smith Places: Spain, Scotland, Europe