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).