Is there a legal way to break an apartment lease for medical reasons?
We have requested from the landlord to let us break the lease because of medical reasons. We were told that "we are in the business to make money". We also have a doctor's letter. Is there a statute or law in MN that will allow this to happen?
Unfortunately, you cannot generally break leases owing to medical reasons. The landlord or his agent is right: they are in the business to make money and, not to be harsh or sympathetic, but it is not their concern whether you have medical issues that would require you to move or otherwise not reside at the rental. Unless the lease itself contained some medical contingency--i.e. the lease allowed the renters out if there was a medical issue--the landlord is not obligated to allow you out of the lease.
Unfortunately, your this situation does not entitle you to terminate your lease early.
Under the circumstances you are still liable for the remaining rental payments until the end of the lease term. However, the landlord is under a duty to "mitigate damages" once you move out; this means that they must use reasonable efforts to find a new tenant. If they do, then at such time, you are relieved of any further rental obligation.
Perhaps, you know of someone who would like to move-in? This certainly would solve your dilemma. Ask around, see if any family, friends, former co-workers, etc. might be acceptable replacement tenants. Also, ask if you can sub-let the unit; in effect you then would become the "landlord". Under the circumstances, you could charge the sub-tenant less than what you are paying but at least it would give some monetary relief. Something is better than nothing. However, you would most likely need his landlord's permission to do this. But it's a possible option here.