A question that comes up is that if Abraham was a prophet and therefore received a scripture is there any proof of this in the Quran? Firstly, just because God may not inform us of every scripture sent down, does not mean that He did not send down certain scriptures to certain individuals. That said, is this the situation with Abraham or is there any indication in the Quran that Abraham had written words from God?
Typically the word used in the Quran for scripture is kitab, but this is not the only word used in reference to scripture. In addition, the Quran also uses the word Tanzil (17:106, 20:4, 26:192 32:2, 36:5, 39:1, 40:2, 41:2), Zubur (16:44, 26:196, 54:43, 54:52), Zikr (3:58, 16:43, 18:28, 37:3, 65:10), as well as Suhuf. While each of these words has a unique reason when being used, in the right context these words can also signify the written scripture.
The root ص ح ف is used nine times in the Quran and has the following derivative meanings.

The word, aside from the one occurrence in reference to plates, consistently in the Quran is in reference to written words. Even today the word mus’haf, which comes from the same root, is used in reference to the written manuscripts. The clearest example that suhuf denotes a written manuscript can be understood from the following verses:
[80:11] Indeed, this is a reminder. [80:12] Whoever wills shall take heed. [80:13] In honorable scriptures (suhuf). [80:14] Exalted and pure. [80:15] (written) by the hands of messengers. [80:16] Who are honorable and righteous.
(١١) كَلَّا إِنَّهَا تَذْكِرَةٌ
(١٢) فَمَنْ شَاءَ ذَكَرَهُ
(١٣) فِي صُحُفٍ مُكَرَّمَةٍ
(١٤) مَرْفُوعَةٍ مُطَهَّرَةٍ
(١٥) بِأَيْدِي سَفَرَةٍ
(١٦) كِرَامٍ بَرَرَةٍ
The above verses inform us that God’s reminder (zikr) is found in suhuf that are written by the hands of messengers. It is worth noting that the word for messenger in 80:15, is nor rasul which is commonly used in the Quran, but instead safaratin سَفَرَةٍ. This word comes from safar which means to journey or travel. So a safaratin سَفَرَةٍ in this context is a person who is traveling to deliver a message, which can also be understood as a messenger.
So what does suhuf have to do with Abraham? In the following verses we see that Abraham had suhuf.
[53:36] Was he not informed of the teachings (suhufi) in the scripture of Moses?
[53:37] And Abraham who fulfilled?
(٣٦) أَمْ لَمْ يُنَبَّأْ بِمَا فِي صُحُفِ مُوسَىٰ
(٣٧) وَإِبْرَاهِيمَ الَّذِي وَفَّىٰ
Some may say that the suhuf in this regard is only in reference to Moses and not Abraham, but then if we look at the next example this clarifies that both Moses and Abraham produced suhuf.
[87:18] This is recorded in the earlier teachings (al-sufufi).
[87:19] The teachings (suhufi) of Abraham and Moses.
(١٨) إِنَّ هَٰذَا لَفِي الصُّحُفِ الْأُولَىٰ
(١٩) صُحُفِ إِبْرَاهِيمَ وَمُوسَىٰ