The Ivorian striker joined the Latics this summer from Sevilla, where he suffered an injury-blighted five-year spell.
Kone netted his maiden Premier League goal in Wigan's 2-0 win over Southampton and has targeted more goals to reward his club and manager for overlooking his recent injury problems.
"I am settling very well at Wigan. Coach [Roberto] Martinez is very good and I love it there," he told Sky Sports.
"Hopefully I will reward the club for the trust they put in me with goals and performances to be proud of."
Kone made his return to international football after a four-year absence when he featured in Ivory Coast's 4-2 victory over Senegal on Saturday.