All oils and fats contain some amount of saturated fat, even the healthy ones, but in varying degrees depending on the type of oils and fats. The oil content of nuts is primarily heart healthy monounsaturated fat, along with a smaller percentage of saturates and polyunsaturated.
The American Heart Association recommends aiming for a dietary pattern that achieves 5% to 6% of calories from saturated fat. That means, for example, if you need about 2,000 calories a day, no more than 120 of them should come from saturated fats. That’s about 13 grams of saturated fats a day.