‘Rest in the I Am’
There is no resting in the ‘I Am’
Resting is the nature of I Am.
I suspect you mean that the ego, which is of the nature of ‘doing’ cannot ‘do resting’ as the I Am.
The resolution of this conundrum is that when the ego turns towards the I Am or the Self, it disappears.
A common objection is that anything the ego does, such as ‘trying to rest as the I AM’ just perpetuates the ego.
However, this is just a logical supposition, ie. it is a belief, based on logic, and is not actually the way it is.
In practice, when the ego-I turns inwards, it disappears. Ego is only of the nature of movement, or doing, and when it turns inwards, towards the I Am, which is of the nature of being (ie. no movement, not doing), the ego-I becomes still and disappears.
Being an illusion, it, the ego-I, never really was.