It made me chuckle watching some of the tackles he got hit with at Tottenham and Partizan.
The 21-year-old goes straight into United's squad while 17-year-old Ljajic will be loaned back out to Partizan.
The result leaves Shakhtar top of the standings with two wins from two, while Partizan have now lost twice.
Evin O'Riordain, founder of The Kernel Brewery, even donated his old brewing kit to Partizan to help the company get started in 2012.
Holders Shakhtar Donetsk took control of Group J with a resounding 4-1 victory over an outclassed Partizan Belgrade at the Olympyiskyi Stadium.
Arsenal will play Shakhtar Donetsk, Braga, Partizan Belgrade in Group H.
Belgium's Club Brugge left Partizan Belgrade without a point after winning 2-0 at home as Croatian midfielder Ivan Perisic scored in the fourth and 58th minutes.
For new manager Eddie May, much will depend on whether striker Danijel Marceta, on loan from Partizan Belgrade, proves to be as exciting a talent as Falkirk's website suggests.
Fabregas will miss Tuesday's Carling Cup tie at north London rivals Tottenham, the Champions League group match at Partizan Belgrade a week later and the Premier League trip to West Brom.
Arsenal will still qualify for the knockout stages if they beat Partizan Belgrade, who have lost all five games so far, in their final group game at The Emirates on Wednesday, 8 December.
BBC: Cesc Fabregas and Emmanuel Eboue ruled out with injujry
When I caught up with Andy Smith, the founder of archway-located brewery, Partizan Brewing, he and his small staff of part-timers were busy packaging their latest creation, an easy-drinking saison brewed with mangoes and peppercorns.
An example of the club's political leanings came when AEK played a friendly in Belgrade against local side Partizan in April 1999, a fortnight into NATO's bombing campaign of Serbia, in a show of solidarity.
The teenager has certainly pressed his case of late, with exceptional performances against Sporting Braga, Tottenham and Partizan Belgrade suggesting he is ready for arguably the biggest test of Arsenal's season against the champions at Stamford Bridge.
The 2009 Uefa Cup winners are five points clear of archrivals Dynamo Kiev after 13 games in the Ukrainian League and have recorded impressive Champions League victories over Partizan Belgrade and Braga to sit alongside Arsenal on a maximum six points going into Tuesday's clash.
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