The phrase "absolutely eager" is correct and usable in written English.
It can be used to express a strong enthusiasm or readiness for something.
Example: "She was absolutely eager to start her new job and meet her colleagues."
Alternatives: "extremely eager" or "very eager".
I remember Ms. Argerich as quite aggressive, absolutely fearless and eager to be on the stage.
Political leaders have always been happy to cultivate historical amnesia, and popular culture, itself fundamentally amnesiac -- its survival depends on persuading consumers that every new product is absolutely unprecedented -- has always been eager to help.
And what about that church, a perfect echo of Boyd Crowder's fundamentalist fever back in Season 1? I'm eager to hear these stories, absolutely.
Bush insisted that the memoir would include self-criticism - "absolutely, yes" - but has long seemed more eager for the public to understand situations as they presented themselves to him at the time.
The Lakers are absolutely desperate for a win, and while the Wolves are eager to end their own four-game losing streak, put this one down as a rare home win.
To be part of something where there's a receptive and willing and eager audience to work on material that you absolutely love, and I've never done anything this long.
Don't act like you know absolutely everything and show students that you're just as eager to learn as they are.
Naive, eager; willing to prove my mettle as a budding reporter, absolutely.
Washburn is so eager to throw light on even the murkiest bits that he makes absolutely explicit what is only hinted at in the original.
A lot has changed at the company since then — layoffs, most notably — so I'm eager to see Yahoo's next diversity report, which the company "will absolutely release" this year, Moore-Roberts said.
