We are given that:
$x^{3} * y^{2} * z = 360$

Now multiple cases are possible here:

Case 1:
When $x = -2$ and $y = -3$ and $z = -5$, then:
$x^{3} * y^{2} * z = (-2) * (-2) * (-2) * (-3) * (-3) * (-5)$

$x^{3} * y^{2} * z = (-2)^{3} * (-3)^{2} * (-5)$

$x > y > z$

In this situation, option A) is a possible answer.

Case 2:
When $x = 2$ and $y = 3$ and $z = 5$, then:
$x^{3} * y^{2} * z = (2) * (2) * (2) * (3) * (3) * (5)$

$x^{3} * y^{2} * z = (2)^{3} * (3)^{2} * (5)$

$x < y < z$

So, option B) is a possible answer as well.

Case 3:
When $x = -2$ and $y = 3$ and $z = -5$, then:
$x^{3} * y^{2} * z = (-2) * (-2) * (-2) * (3) * (3) * (-5)$

$x^{3} * y^{2} * z = (-2)^{3} * (3)^{2} * (-5)$

$x <y$ and $y > z$

In this situation, option C) is a possible answer.

Case 4:
When $x = 2$ and $y = -3$ and $z = 5$, then:
$x^{3} * y^{2} * z = (2) * (2) * (2) * (-3) * (-3) * (5)$

$x^{3} * y^{2} * z = (2)^{3} * (-3)^{2} * (5)$

$x > y$ and $y < z$

Therefore, option D) is also a possible answer.

Hence, the correct answers are Option A), Option B), Option C), and Option D).