The 40-year-old took charge of United's final four Premier League games of the campaign following the sacking of David Moyes, culminating in a 1-1 draw at Southampton on the final day.
A second-half Juan Mata free-kick cancelled out Rickie Lambert's opener for Saints as both sides shared the points from a typical end-of-season game as Mauricio Pochettino's side finished one place below the Red Devils in eighth place.
With Giggs' own future unclear, the Welshman once again said he has several options available to him and admitted he must be quick to make a decision with the appointment of a new manager seemingly imminent.
Asked if he was any closer to knowing his immediate future, Giggs replied: "No, I'm not really.
"I'll decide within the next week. I think the managerial situation will be sorted out in the next week. (I'll) think of my own position and decide what I am going to do.
"Whether to play on or not. Whether to stay on at the staff, what position that is going to be. Whether I take a year off from football. These are the options, these are the decisions I have to make.
"All the options are open to me. I've been quite open with you. I'll look at everything. I might have to do it quick if a new manager is appointed."
As he entered the press room at St Mary's to conduct his post-match media obligations, Giggs asked for the televisions showing Manchester City's title celebrations to be turned off.
Following a poor campaign and the ill-fated spell under Moyes, United finished 24 points off their city rivals and missed out on securing the final Europa League qualifying berth.
That went instead to Tottenham, although Giggs reckons that could prove a blessing in disguise for the new United manager with no distractions getting in the way of a healthy domestic campaign.
"I'm quite a positive person so hopefully it will help us in our league form and we have good cup runs which we didn't this year, especially in the FA Cup," he said.
"We do well in the cups so we can get the amount of games up so everyone gets a chance - because we need to keep a squad for when we get back into Europe next year."
Having overseen two home wins and a defeat in his first three games in charge, the trip to Southampton was Giggs' first away from Old Trafford.
With captain Nemanja Vidic recalled for his last game as one of seven changes, United were sluggish in the first half and paid the price when Lambert latched onto a Steven Davis pass.
The visitors were incensed as Vidic had been caught by Lambert's elbow in the build-up but referee Mike Dean allowed the goal to stand.
Mata's leveller came nine minutes into a second half which saw United improve, with Giggs happier with his side following the interval.
"I was really pleased with the second half," he added. "Southampton had the better of the first half, we just didn't keep possession enough and the team that I picked was for that reason.
"We changed things at half-time, it was a lot better. The players were brilliant in the second half, they were on the front foot, kept possession well and there was only going to be one winner.
"It (management) has been an experience - it's been ups and downs. More ups than downs. The down was the Sunderland game. I've enjoyed it. I didn't want that second half to end."