Coach James Kwesi Appiah's charges scored five unanswered goals at the Baba Yara Stadium to begin their campaign on a high.
The Black Stars have, by their big win, climbed to the top of the table, only separated on goals from Sierra Leone, who beat Kenya 2-1 in the other group game on matchday one.
“I congratulated the team on winning the match,” Abedi said.
“I spoke to the members of the team when I saw them and I also said same to the members of the management committee.
“For now, we do not have to jubilate so much because things go so fast in football,” Ayew said.
“We have other matches to play in the qualifiers even though the countries we will face [Sierra Leone and Kenya] are not as strong as expected.
“But we will still face them and those matches will have to be played nonetheless.”
Ghana play away to Kenya when the qualifiers resume in March next year, before hosting Sierra Leone in September to complete the first round of the qualifiers.