Colin Gordon of Key Sports Management, confirmed that a managerial spell in Holland is a possibility for his client.
"I'm sure he'll be linked with the Getafe job as well now with their manager [Michael Laudrup] is set to leave and there are a couple of jobs in Denmark so no doubt his name will be linked with them as well."
When asked if McClaren was a serious contender for position with the Enschede outfit Gordon said he could be in the running.
"It's an option - they are a club in the Champions League and he has experience of managing at the top level," Gordon added. "Taking a position abroad is certainly a possibility for Steve."
McClaren, 47, has been out of work since he left the England job in November following the failure to qualify for Euro 2008.
An FC Twente spokesman said: "Steve McClaren was in the stadium because he wanted to watch a good game of football in Holland.
"We have not decided on a new coach yet. We have just qualified for the Champions League and it will be decided in time."