Overnight, the Eagle Rock fire laid down because winds dropped allowing the 300 firefighters on the scene to make progress in digging line and cutting off the wildfire's fuel supply.
Fire information officer Larry Tunforss said the fire is burning about 11 miles northeast of Williams in mostly ponderosa pine and conifer.
Fire spokeswoman Brienne Magee told CBS affiliate KPHO that calmer winds Thursday aided firefighters battling the blaze in the Kaibab National Forest.
The fire was 30 percent contained by nightfall.
If there are flare-ups, fire managers have at their disposal various means to attack the flames, including water-dropping helicopters and air tankers.
On Friday evening, residents from the community of Parks will be briefed by fire managers about the progress of the firefighting effort.
The cause of the fire is not yet known.