The Egypt left-winger played eight years for Ismaili before joining Trabzonspor, from where he signed for Ahli after only six months in Turkey.
"Ahli always have new goals to achieve," Moawad told Al-Hayah TV after beating Zamalek 2-0 on Sunday in the Egyptian Super Cup.
Although it is Moawad's first title with Ahli, he stressed that he will have no time for celebrations.
"In other clubs, there were continuous celebrations after winning big games. This attitude doesn't exist in Ahli," he said.
"After beating Zamalek last week in the Champions League, (coach Manuel) Jose told us that we have to focus on the Super Cup.
"Now we will have to prepare for the next Champions League game against ASEC. It is the priority. Ahli fans accept nothing but winning."