Cook the spaghetti according to the package directions.
In a nonstick skillet, working in batches, fry the spaghetti in the oil until golden, 2 to 3 minutes. Transfer it to a paper towel-lined plate and season with ½ teaspoon salt.
In a large bowl, toss the lettuce, oranges, carrots, cucumber, and cashews with the vinaigrette. Crumble the fried spaghetti on top.