The incident happened at about 21:00 BST on 3 August in Prestbury, Cheshire.
The alarm at the Manchester United star's Â£6m property was reportedly triggered and police conducted a full search of the area.
The arrested man, who is 24 and from the Scarborough area, is in police custody for questioning.
The testimonial against Everton, which ended 0-0, made history as it was the first ever game between Premier League teams to be streamed live on Facebook.
A man has been arrested on suspicion of attempting to burgle Wayne Rooney's home while he was playing in his testimonial match at Old Trafford.