When she parted . . . . . . . . her parents, her eyes were full of tears.

Answer: Option A

The verb "part" means to separate or leave.

We use "part from" to indicate separating from a person or thing.

The other options don't fit the context:

"Part off" usually refers to separating a piece of something.

"Part away" is not a standard or grammatically correct usage.

"Part with" means to give something away, often reluctantly.

Therefore, "When she parted from her parents" is the only grammatically correct and meaningful option.