The 40-year-old took charge of his final game as United interim manager at St Mary’s as Rickie Lambert put the Saints ahead before Juan Mata’ second-half leveller.
Netherlands head coach Louis van Gaal is being heavily-tipped to replace Giggs in the summer after the Welshman replaced axed David Moyes last month.
And Giggs said that he has enjoyed the experience of managing the 13-time Premier League winners, who miss out on a spot in the Europa League after Tottenham Hotspur beat Aston Villa.
“It’s been an experience with ups and downs. I’ve enjoyed it and I didn’t want the second half to end. The fans were great and the players were great and I loved it.
“I will decide within the next week (what I do), the managerial situation will be sorted in the next week and I need to have a think about what I will do.”
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