Republic of Ireland hosts Sweden in a vital 2014 FIFA World Cup qualifier next month and keeping the Paris Saint-Germain frontman, who famously scored four against England last year, quiet will be its prime concern.
Ibrahimovic struck twice in the first half-hour at the Friends Arena but
Ibrahimovic soon restored the advantage, though, and
Manchester City striker Edin Dzeko continued his good pre-season form with two goals for Bosnia-Herzegovina but it was not enough to prevent a 4-3 loss to USA in Sarajevo.
Dzeko and Vedad Ibisevic put Bosnia-Herzegovina in command but a hat-trick from new Sunderland signing Jozy Altidore after Eddie Johnson pulled one back turned the game around. Dzeko's second came in the last minute.
FYR Macedonia, which plays Wales in September and Scotland the following month, beat Bulgaria 2-0 in Skopje with late goals from Agim Ibraimi and Aleksandar Trajkovski.
Another of England's upcoming opponents, Moldova, drew 1-1 with Andorra after an equaliser from Alexandru Dedov.
Morten Rasmussen scored at the end of either half as FC Midtjylland re-established its five-point lead at the top of the Superliga with a 2-0 win over rock-bottom Sonderjyske.