Searching the Bible electronically I could only find two references to the silence of God:
Psalms 30:12 that my glory may sing your praise and not be silent. O LORD my God, I will give thanks to you forever!
Psalms 109:1 To the choirmaster. A Psalm of David. Be not silent, O God of my praise!
In the context of these Psalms, God is asked to not be silent, i.e., to not ignore the problems of the psalmist.
However, the concept that God is not seen to directly intervene is addressed elsewhere in Scripture. For example, early in the time of Samuel visions were not frequent:
1 Samuel 3:1 Now the young man Samuel was ministering to the LORD under Eli. And the word of the LORD was rare in those days; there was no frequent vision.
So God’s evident direct communication with humankind varies with time.
Sometimes it seems that God will not again intervene because Jesus has not yet returned to righteously rule:
2 Peter 3:1-4 This is now the second letter that I am writing to you, beloved. In both of them I am stirring up your sincere mind by way of reminder, (2) that you should remember the predictions of the holy prophets and the commandment of the Lord and Savior through your apostles, (3) knowing this first of all, that scoffers will come in the last days with scoffing, following their own sinful desires. (4) They will say, “Where is the promise of his coming? For ever since the fathers fell asleep, all things are continuing as they were from the beginning of creation.”
However, God has his own reasons and his own timetable, not ours:
2 Peter 3:9 The Lord is not slow to fulfill his promise as some count slowness, but is patient toward you, not wishing that any should perish, but that all should reach repentance.