The Wales star, who scored twice in Madrid's win over Las Palmas on Saturday, could be tempted to move to Old Trafford amid speculation the Spanish giants are willing to listen to offers. Lucas Vazquez was bundled over by a reckless tackle from Jonathan Calleri and Benzema converted low to the keepers left from 12 yards out.
And the 28-year-old was called upon again midway through the first half as his outstretched left-handed palm denied a certain Marco Asensio goal after Bale's sublime through ball from the left-hand side found the young Spaniard in space inside the area.
However, the Frenchman's inconsistent form in front of goal this season continued, with Chichizola denying the 30-year-old with a superb close-range save before the rebound cannoned back off the Los Blancos striker's leg and away to safety.
Home goalkeeper Chichizola could do nothing as Madrid took the lead in the 26th minute, though.
Las Palmas need to pick up points, and once we'd got the first, it was a bit less complicated.
Bale had an opportunity to notch a hat-trick when he was sent through on goal by Benzema, but the Welshman missed the target from a tight angle after he rounded the keeper.
The former Rayo Vallecano coach has now lost on all nine of his meetings with Madrid, who understandably eased off in the closing stages, with attention turning to Turin and Juventus, and Zidane's only concern will be over the extent of Nacho's injury.