"Right now, we want to win baseball games, that is our focus," he said on Wednesday. "We owe it to these [players] here. I think they are feeling good about each other, winning eight of their last 11 games.
"We have five tough games coming up on the road and then we'll see what happens."
The trade rumors concerning left-hander Cliff Lee appeared to calm down a little the day after he pitched a complete-game victory over the Yankees.
At least it was nothing like Tuesday, when a horde of media surrounded the Mariners' GM to pepper him with Lee questions.
"I think it's just good copy," Zduriencik said. "Everybody has to write, there's obvious things out there that are intriguing, if you're a true baseball fan or a casual baseball fan.
"You have your hometown team you root for, a lot of personal interest, and you have your emotions invested in the club. Anytime something happens, whether it's an injury or what happened last night, whether it's a winning streak -- something that affects the balance of the ballclub -- it's news, it's a curiosity.
"That's what drives talk radio, the blogs, buying newspapers. It motivates people. You just have to take it in stride and understand that's all part of it."
Zduriencik said he evaluates the players he has day-by-day, series-by-series, week-by-week.
"You hope to think through everything and let things unfold," he said. "If you try to force something, that's not the best way to do things."