The phrase "attention with which" is correct and usable in written English.
It can be used to describe the level or manner of attention given to something, often in a formal or literary context.
Example: "The attention with which she listened to his story was evident in her focused gaze."
Alternatives: "the care with which" or "the focus with which".
Another aspect of Rembrandt's genius is the acute and loving attention with which he observed the world around him.
Certainly there could not have been a better advertisement for Teddy boy behaviour than the attention with which the small audience listened to the speakers last night.
She shoots a cabbage patch with the same careful attention with which Claire sews on the adornments of the film's title.
The rapt attention with which his acceptance speech was heard was a mark not only of his stage presence but of the man's wit, modesty and natural charm.
In recalling it, I marvelled too at the precise attention with which he rendered this exquisite little falcon's quality of movement, of being: "…how he rung upon the rein of a wimpling wing / In his ecstasy!
But it is brought home to the audience with even greater force by the attention with which Russell Hornsby, who plays Youngblood, a Vietnam veteran himself, listens to it.
FINANCIAL TIMES A Week of Small I.P.O.'s | This week's deals, none of which is larger than $200 million, may compete for attention with Facebook, which is due to trade next week, The Wall Street Journal reports.
Now, as the job market deteriorates, both law and business schools are drawing more attention, with law, which appears to be the most sensitive to changes in the economy, showing the sharpest increase.
What made the spectacle work was the ingenuity and the attention to detail with which it was rendered.
But despite the attention to detail with which the robbery was executed, fatal errors soon led the police to the doors of most of those who had participated.
Mr. Rondos said that depression and attention deficit disorder, with which he was recently diagnosed, led him to procrastinate and left him unable to focus.
