The hosts gave their opponents a shock inside the opening few minutes when they nearly took the lead through Gheorghe Boghiu.
Ibrahimovic's first contribution was to send a mishit strike towards goals just before half time that was turned wide of Cebanu's post by Thelin.
Despite their tame first-half showing, Sweden took the lead immediately after the restart through Ibrahimovic.
However, the goal was all the making of Cebanu, who sent his clearance straight at Ibrahimovic and could only watch as the forward managed to direct an impromptu header into the back of the empty Moldovan net from the edge of the box.
Thelin should have doubled his side's advantage on the hour mark when he took the ball around Cebanu, only to knock the ball out of play with a heavy touch with the goal at his mercy.
The result keeps Sweden in second place in Group G, four points behind leaders Austria.