The name al-Hāfiz, along with its emphatic form al-Hafīz, appear six places in the Qur’ān. These two names convey the meaning that Allah is the Protector who safeguards His creatures.
These names have other connotations as well. They convey the meaning that Allah is our Keeper, our Guardian, and that He is Ever-Watchful over our affairs. All of these meanings are implied by these names.
Allah says: “Lo! My Lord is Protector over all things.” [Sūrah al-Hūd: 57]
And: “Your Lord is Protector over all things” [Sūrah Saba’: 21]
And: “And (as for) those who take guardians besides Him, Allah is the Protector over them (as well).” [Sūrah al-Shūrā: 6]
And: “Allah is the best Protector.” [Sūrah Yūsuf: 64]
Allah declares that He will protect the Qur’an from corruption, He uses this name: “Surely We have revealed the Reminder and We will most surely be its Protector.” [Sūrah al-Hijr: 9]
Allah tells us in the Qur’an how He subdued the creatures to Solomon’s command, to grant Solomon’s request to have a kingdom the likes of which no one before him or after him would ever have. Allah says how He himself was watchful over all of their works. “…and they did other work, and We were Protectors over them.” [Sūrah al-Anbiyā’: 82]
Allah is watchful over us all and over the deeds that we do. Allah also sends angels down to act as guardians for us and to watch over us.
Allah says: “He is the One who Subdues, above His servants, and He sets guardians over you. At length, when death approaches one of you, Our angels take his soul, and they never fail in their duty.” [Sūrah al-An`ām: 61]
Closely related to this concept is the idea Allah is the One who takes all things to account, and nothing escapes his notice and concern.
Allah says: “And the Book will be set down, and you will see the guilty fearful of that which is therein, and they will say: ‘What kind of a Book is this that omits nothing small or great, but has counted it all!’ And they find all that they did confronting them, and your Lord wrongs no-one.” [Sūrah al-Kahf: 49]
On the Day of Judgment, Allah will recompense us for our deeds, leaving nothing unaccounted for.