The best time to see the Zodiacal Light is when the ecliptic is most nearly perpendicular to your local horizon.
For those in the Northern Hemisphere, this occurs in the western sky after sunset from early February to late March. The best morning view is in the eastern sky from late September into the early part of November.
Conversely, for those who live in the Southern Hemisphere, the best view comes after sunset in the western sky from early August to late September, while the best morning view is in the eastern sky from late March into the early part of May.
Those who live in the tropics or at the equator are the luckiest of all, since it has been said that the Zodiacal Light is generally brighter and more conspicuous in these regions. This is probably because the ecliptic is always favorably oriented there, allowing views both in the western evening sky and eastern morning sky, all year long.