That's not Maturi's job. He's responsible for a whole athletic department, not just the football team. It's an unavoidable reality of the transfer of power between coaches. There will almost always be some fallout. There was only a little over a week between the Iowa game and Kill's hire, but it is a terrible confluence of circumstances:
A. It's right before finals, when students really need to buckle down and do well, as everyone knows that finals are a disproportionate part of the grade for most classes.
B. The outgoing staff is busy packing up their offices, their homes, looking for new jobs, homes, schools for their kids, etc. They have way too much on their plates to deal with student problems, unfortunately.
C. The incoming staff has to do all of the same as in B., except in reverse. There is a time window where they have to get "settled in" before they can really deal with the "meat" of the job, including academics.
So, in reality, there is probably an effective window of 2-3 weeks where no one on the coaching staff is available to crack the whip on players, and some will inevitably fall through the cracks. The only way to avoid it is when the interim is retained by the new staff (e.g. Luke Fickell at Ohio St.), and there is no "interruption in service". As we all know, it very rarely comes to pass that old staff are retained, so there is almost always fallout and it cannot be avoided in most circumstances.
Then again, some will always look for a reason to excoriate Maturi, no matter the circumstances.