The Kansas City Chiefs are just like the rest of us when it comes to LB Mike Vrabel's arrest. They probably don't know much more than us as they are not permitted to have contact with players during the NFL lockout.
The Chiefs did, however, issue a public statement on the arrest:
"We are aware of the reports regarding Mike Vrabel, but we are not permitted to have contact with Mike at this time. We understand that Mike has communicated publicly that the matter is a misunderstanding for which he takes full responsibility. We hope it is resolved for Mike in a positive way."
That's about all the Chiefs can say on the matter. Unfortunately, the lockout won't allow them to speak to him and get his side of the story.
It doesn't sound like this will be a lingering issue if/when we get back to football. Jason La Canfora of NFL Network reports the matter is "expected to be resolved within days".