There is in fact a relationship between a planet's distance from its star and its orbital period. This is known as Kepler's Third Law. Mathematically, this can be formulated as:
$$
\frac{P^2}{a^3} = \frac{4\pi^2}{G(M+m)}\approx\frac{4\pi^2}{GM}
$$
Here, $P$ is the period, $a$ is the semi-major axis (distance), $M$ is the star's mass, and $m$ is the planet's mass.
We can simplify this by using the mass in solar masses, distance in AU, and period in years. This gives us:
$$
M=\frac{a^3}{P^2}
$$
Rearranging to solve for distance:
$$
a=(MP^2)^{\frac{1}{3}}
$$
372 days is 1.019 years, and assuming the star your planet is orbiting is the same mass as the Sun, you get a distance of ~1.01 AU. That is 1% further away from the sun than the Earth is now. Light intensity falls off as $1/d^2$, so this would reduce the light your planet receives by ~2%. This might be enough to make your planet a few degrees colder, but if your planet has a slightly thicker atmosphere, it might not. All in all, I'd say the effect would be rather negligible.
Now, this is changing your orbital period by changing the distance. The other way to change your period is by simply changing the length of your day. If you make your days slightly shorter, your planet will complete more rotations in the time it takes to do one full revolution.