Entering the final guaranteed season of his contract with the Nationals, Span says he would like to remain in Washington.
The Nationals general manager says the interest in both relievers has been informal.
The center fielder is honored as the Nationals' best defender in 2013.
Both Nationals players finish as finalists, losing the awards to Andrelton Simmons and Carlos Gomez, respectively.
Winners for the award will be announced on Tuesday.
Davey Johnson wants to make the Cardinals have to earn their NL Central title.
The center fielder's hitting streak, the longest in the majors in two seasons, comes to an end.
He has a 28-game hitting streak and has stolen seven bases in that span.
Denard Span's teammates have reveled in -- and benefited from -- his 23-game hitting streak.
Denard Span has had better statistical seasons, but none have meant more to him than this one.