Step 1: Read the statement.
It says the net magnetic flux through any closed surface is zero. We find who this law belongs to.
Step 2: Understand the meaning.
Magnetic field lines never start or stop; they always form closed loops, so as many lines leave a closed surface as enter it.
Step 3: Write it in symbols.
\[ \oint \vec{B}\cdot d\vec{A} = 0 \] which says single magnetic poles do not exist.
Step 4: Name the law.
This is Gauss's law for magnetism, one of Maxwell's equations.
Step 5: Rule out others.
Coulomb dealt with electric charges, Faraday with induced voltage, and Kirchhoff with circuit currents and voltages.
Step 6: Conclude.
The statement was given by Gauss.
\[ \boxed{\text{Gauss}} \]