  Existence and uniqueness of solutions to the stochastic heat equation with
multiplicative spatial noise is studied. In the spirit of pathwise
regularization by noise, we show that a perturbation by a sufficiently
irregular continuous path establish wellposedness of such equations, even when
the drift and diffusion coefficients are given as generalized functions or
distributions. In addition we prove regularity of the averaged field associated
to a L\'evy fractional stable motion, and use this as an example of a
perturbation regularizing the multiplicative stochastic heat equation.
