Can the change due to impermanence be considered intelligent?

I don't know if I'm following your point but impermanence in Buddhism isn't intelligent or a belief but is merely what one notices objectivly when not distracted by habits & beliefs.

The Oxford dictionary defines intelligence as "the ability to acquire and apply knowledge and skills." The nature of impermanence is that what is born also dies, and what is acquired is lost. And this applies to knowledge and skills, which are also acquired and lost. Intelligence itself is impermanent--it waxes and wanes as well.

dn16: ‘Conditions are impermanent. How could it possibly be otherwise?’”

Buddhism addresses the end of suffering. And that would require an end to grasping at impermanence:

an10.93: “Sirs, anything that is created, conditioned, chosen, and dependently originated is impermanent.

an10.93: And what’s impermanent is suffering.

Specifically, what is important about impermanence is that, intelligent or random, impermanence is just ...

... unsatisfactory.

I think the "intelligence" is a projection -- i.e. that it is your saying, "that's clever, that fits, that's purposeful, that make sense to me."

I think impermanence happens because of causes -- e.g. a cup is made from clay, later the cup is broken.

I don't see it's useful to apply the word "intelligent" -- maybe the cup being broken is "negligent" rather than "intelligent", or maybe it's "natural".

It may be a human tendency to ascribe intelligence -- see animism.

I don't remember suttas which support the view that "impermanence is intelligent", although of course it says a lot of other things.

Buddhism isn't overly concerned with the source or cause of impermanence. The Buddhist problematic is that the mind fixates on permanence — on wanting things to be a certain way, always — and that fixation causes misery of various sorts when things do change (as they inevitably will).

I'm not certain what thought or insight is bubbling around behind this question (perhaps it hasn't made itself clear even to you, yet), but you should be aware that fixating on impermanence can be just as problematic as fixating on anything else. Who or what are you trying to ascribe intelligence to?

What is the nature of the impermanence ,is it just a random change or intelligent change ?

Impermanence is a characteristic of conditioned existence, ie. of Samsara. All compounded and conditioned things are tainted by this characteristic. It is an impersonal law with no known origin. It should be thoroughly contemplated and observed mindfully as it is part of the Triple Gateway to Liberation, signs that lead to the outlet of this world.

So much time it took to put up a correct question ... ÷) ÷).

Impermanence : It is defined at atomic level for tiniest possible energy particle which shows dual nature :: matter(as existence) and wave(as non-existence or Maya or Delusion).

Whatever happens due to this dual nature , is called as change.

Change seems to be intelligent to a human till it makes one happy ,otherwise it seems to be a curse. Change is intelligent upto what seems to be good. But ,my friend , what seems to be good is ,in itself, a biggest hinderance than not-good. Pain, actually ,is a pleasure in early form. When one gets used to this pain , it becomes pleasure and seems to be intelligent.

Fruits of change in living beings is due to Ignorance and in non-living beings is due to chemical reactions. Now unless you are a believer in God or something like that , it won't create a confusion otherwise you might think who is causing these chemical reactions. Such questions are hindrances to meditation. Sit again and try to analyze that seems to be intelligent to you , it's just a pleasure feeling. Otherwise ,when you see it WISELY , it becomes merely cause and conditions passing by while Ignorance as stand-by...÷)