Previous boss David Moyes opened last campaign with a 4-1 victory over these very opponents and his successor is 1/3 (1.33) favourite with Paddy Power to follow suit by coming out on top here.
However, the Swans gained their revenge by knocking United out of the FA Cup in January's third-round clash at the same ground and are available at 8/1 (9.00) to earn another memorable win there on Saturday.
There has been just one draw in the past eight meetings between the sides but you can get odds of 4/1 (5.00) on them sharing the spoils this time out.
After the misery of the Moyes era, Van Gaal's arrival has restored optimism around Old Trafford this summer thanks to an impressive pre-season campaign.
The former Netherlands coach is yet to be beaten as Red Devils boss, having led the side to five wins and one penalty shootout victory in six fixtures over the past few weeks.
In contrast, there is an air of uncertainty surrounding Garry Monk's team following a rather uninspiring last campaign and a summer transfer window that has seen prominent players such as Chico Flores, Michu and Pablo Hernandez depart the Liberty Stadium.
Resounding friendly defeats against both Bournemouth and Villareal recently have done little to dispel the pessimism surrounding the Swans going into the new season and it would really come as no surprise should they suffer a similarly heavy defeat as they did on last year's opening day.
After scoring 18 goals in six pre-season fixtures under the new regime, United must surely be backed at 10/11 (1.91) to win by at least two goals against a side who have conceded three in two of their previous three matches.
However, considering that the hosts have kept just one clean sheet in their last five matches, odds of 2/1 (3.00) also appear extremely appealing on them coming out on top in a game featuring goals at both ends.
|Manchester United to win (-1) for a 1pt stake at 10/11 (1.91) with Paddy Power
||Manchester United to win and both teams to score for a 2pt stake at 2/1 (3.00) with Paddy Power
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Al Hain-Cole is a Liverpool fan, experienced tipster and avid follower of European football. He specialises in accumulators and if you would like to read more from Al you can follow him on Twitter here.