The Portuguese sharpshooter has already bagged four goals in the tournament so far.
Quaresma's "trivela", a goal a player scores by shooting with the outside of his foot, came on his first World Cup start.
They have lost six encounters and drawn just one.
Cristiano Ronaldo spurned the chance to go level with Kane as World Cup top scorer when Beiranvand saved his spot-kick, awarded by VAR following a foul by Eztolahi.
As pointed out above it's not fazed him before though, as when PSG fans tried to disturb he and his Real Madrid colleagues, Ronaldo scored a header in a 2-1 Champions League last 16 second leg win in the French capital.
Soccer Football - World Cup - Portugal Training - Kratovo, Moscow Region, Russia - June 24, 2018.
The north Africans were well organised in defence and midfield with the experienced Nordin Amrabat repeatedly troubling the Portugal defenders with his runs down the right wing.
His coach Fernando Santos also played down the significance of Queiroz taking on his own country, describing him as "a friend and a great professional" who would be doing his best for Iran, in the same way that Santos would be doing his best to beat him.
On Monday, Iran will expect young striker Sardar Azmoun to fire and secure the Asian side a pre-quarter berth for the first time in their World Cup history.
Cristiano Ronaldo doesn't usually have bad games, but when he does they usually revolve around some kind of controversy.
In a match that was more competitive than most thought it would be, Portugal once again failed to impress, but got the result it needed.
Spain won the group after its 2-2 draw with Morocco.
This goal from Quaresma proved to be enough for Portugal to earn the point.
Portugal - Patricio 5, Cedric 6, Pepe 5, Fonte 5, Guerreiro 7, Carvalho 5, Adrien 6, Mario 6, Queresma 7, Ronaldo 5, Silva 6. His goal against Morocco made him Europe's all-time leading scorer in worldwide matches.
The sides meet on Monday in a game that is crucial for the qualification hopes of both nations.