Perhaps change your Me.Eat() signature to take an IEnumerable
Me.Eat(Pizza.Where(s=>s.Flavor=="Sausage").ToList());
This lets you perform the task in 1 line of code.
Then your Eat() could be like:
public void Eat(IEnumerable remove)
{
foreach (Slice r in remove)
{
Pizza.Remove(r);
}
}