Werder Bremen's bad-boy Austria striker Marko Arnautovic has rejected a move to Scottish champions Celtic, according to a report on Saturday.

"Marko will not transfer there, I have already informed Celtic's manager," Arnautovic's agent Roger Wittmann told German daily Bild.

Scottish giants Celtic are reported to have offered Arnautovic a four-year contract worth two million euros (US$2.6m) per season, while Bremen had agreed to a transfer for four million euros, but Arnautovic has made it clear he does not want to move to Glasgow.

The Austria forward, who has played for Holland's Twente and Italy's Inter Milan, is under contract with Bremen until June next year, but has not played in the Bundesliga since April, when he was suspended by the club after being caught speeding by police.

Arnautovic spent Bremen's opening game of the season last weekend on the bench.

Werder's director of sport Thomas Eichin has said Arnautovic has a future at the club -- providing he behaves after other misdemeanours including a training ground bust-up in March with a Bremen team-mate.

"He is an important, high quality player. If he brings 100 percent of his quality to the pitch, then he is a big plus for us," said Eichin.