The Cowboys also are discussing potential trades, team vice president Stephen Jones said Wednesday.
"He's had success against us for the (Philadelphia) Eagles, so we've seen him a lot," Jones said of Foles. "He's got a big arm. Obviously when you have the great offensive line we have and we think we're going to have a very solid running game, the thing you worry about is people trying to suffocate you. He's proven he can get the ball down the field, so he's got a lot of attributes that could fit well for us."
Jones added about the search for an experienced backup quarterback: "We've got to uncover that. Our No. 1 priority is to get it right, and expeditiously is the No. 2. We want to get a guy in here sooner rather than later."
Moore broke his right ankle or fibula at practice during training camp Tuesday night in Oxnard, Calif., team owner Jerry Jones confirmed.
Moore was taken off the field on a cart, with his lower right leg in a soft cast. He will need surgery and is expected to be out a minimum of six to eight weeks.
The Los Angeles Rams released Foles last week before veterans were due to report to camp. Foles, 27, had requested his release, giving up a reported $750,000 in fully guaranteed salary.
The Cowboys were off Wednesday but likely will add a quarterback to continue giving starter Tony Romo every third day off.
Moore, 27, was slated to be Romo's backup this season. The fifth-year pro threw for 779 yards with four touchdowns and six interceptions in his career, all last season in three games, including starts in the Cowboys' final two games of the season.
"Your heart hurts for him," Cowboys tight end Jason Witten told the Dallas Morning News on Tuesday night. "He works really hard. He's constantly taking notes. He's studying. He's communicating.
"At that position, I've seen it with Tony for as long of a time as we came in. You never know when your (opportunity) is going to happen. He'll continue to fight. That's who he is, that's who he's been his whole life. He'll bounce back, I'm sure."
Third-string quarterback Dak Prescott, a rookie fourth-round draft pick out of Mississippi State, replaced Moore in team drills after the injury. Dallas also has former Texas-El Paso quarterback Jameill Showers, who was on the roster last year but didn't see any action.
"It is what it is," Jones said of Moore's absence. "We can't change that, so we're in the process of looking to bring another veteran-type guy in here to compete with Dak and Jameill."