Mariners general manager Jack Zduriencik said trading Hisashi Iwakuma "wouldn't make any sense."
Nick Cafardo of the Boston Globe reports that the Mariners have "fielded inquiries from a few teams" on Hisashi Iwakuma.
Mariners exercised RHP Hisashi Iwakuma's $7 million club option for 2015.
Hisashi Iwakuma won Friday after allowing two runs in 6 1/3 innings against the Angels.
Hisashi Iwakuma lost his third straight start Sunday, allowing four runs over 4 1/3 innings against the Astros.
Hisashi Iwakuma was knocked around by the Angels on Monday, allowing seven runs on six hits across 3 1/3 innings.
Hisashi Iwakuma worked just 4 1/3 innings on Wednesday, allowing four runs on six hits in Wednesday's 5-2 loss to the Astros.
Hisashi Iwakuma allowed three solo home runs but nothing more over six innings, earning the win over the Nationals on Sunday.
Hisashi Iwakuma lasted just 2 1/3 innings on Sunday, allowing five runs on six hits in a no-decision against the Red Sox.
Hisashi Iwakuma had his way with the Phillies on Tuesday, striking out 11 in eight scoreless innings.
The Mariners have adjusted their rotation so that Hisashi Iwakuma will start Sunday against the Red Sox.
Hisashi Iwakuma struck out five Blue Jays in firing 6 2/3 shutout innings in Wednesday's 2-0 win.
Hisashi Iwakuma pitched seven innings of one-run ball Friday as the Mariners beat the White Sox.
Hisashi Iwakuma allowed only a solo home run over 7 2/3 innings but suffered the loss against the Orioles on Sunday.