Both Cabrera and Francoeur signed one-year deals as free agents prior to the season. Cabrera is making just $1.25 million this season, but he has had a career year in Kansas City.
"[He's] another player who's just very young, he's having a breakout year offensively," Moore said. "He does a lot of things that help you win baseball games. He brings an attitude and a swagger to him that I think is important."
The 27-year-old entered Thursday leading the Royals with a .310 batting average, 16 home runs and 73 RBIs. The 73 RBIs ties his previous single-season best, and the most home runs he had hit in any other season was 13, in 2009 with the Yankees.
Cabrera entered the Royals' series with the Red Sox on a 10-game hitting streak. He's second in the Majors to Boston's Adrian Gonzalez with 51 multihit games and has hit .386 since July 2.
Cabrera also has 10 outfield assists, tied for sixth in the Majors. Kansas City leads the big leagues with 40 outfield assists this season.
Cabrera doesn't have enough service time to become a free agent this offseason.
For now, Moore had nothing to say about potentially signing Cabrera.
"What I would say to that is it probably wouldn't be real appropriate for me to discuss that," Moore said. "That's a fair question, it's a question that should be asked. But right now, I'd just as soon not go down that road right now.
"I would say that the majority of our discussion with players will from this day forward, as it pertains to this team in 2011, will be pointed for the offseason."