The English former midfielder took over from the sacked Graham Potter with a little less than a third of the campaign remaining.
With Lampard facing immense struggles during these weeks, he was asked what note he would leave for his successor.
He told reporters: “When you're Chelsea and you had a season like we've had, there are obviously things that need to improve. I'm not sure that note should be a public one, if anyone wants me to leave a note or speak to me, they can pick up the phone anytime they want.
It's clear there are things that I would see that need to improve but the new manager will see them with his own eyes and he will have a pre-season to work with the team. They need that. We're not physically competitive enough. Newcastle are. We haven't been.
“That's a strong opinion that I have. Also, we will have the capability as a club and for the new manager to get the squad in the place he wants it to be. That's going to be some work as well. The squad has been to deep and that's the biggest challenge I've found day to day.
“Coming in and trying to work with big numbers and players that are maybe a little bit, for whatever reason, disillusioned, for right or wrong, that they're not playing or they might be leaving. Those situations can be sorted out now and they have to be."