If we complaint silently in hopes that God listen to our hearts, does that count as patience?

Sure. Complaining to God is what the Prophets did, peace be upon them, when they were being patient.

85. They said, “By God, you will not stop remembering Joseph, until you have ruined your health, or you have passed away.”

86. He said, “I only complain of my grief and sorrow to God, and I know from God what you do not know.” (The Quran, verses 12:85-86)

Best wishes.

Follow-up question

can we get back to the “complaining to god” conversation. if we are dealing with a frustrating situation where we are incapable of digest what’s going on, if I say in my mind “this is unfair I deserve better, when will the good things happen to me” isn’t it that ungrateful, am I not being a brat because so far god has been good to me isn’t it family-wise and health-wise. I mean he has favored me in other areas so if I complain wouldnt that be ungrateful

It depends on the tone of your conversation with God. You can state your situation to Him without blaming Him or acting as if He has wronged you. The Quran gives us a very beautiful example of the right attitude in the story of Prophet Ayyub (Biblical Job), peace be upon him:

83. And Job, when he cried out to his Lord: “Great harm has afflicted me, and you are the Most Merciful of the merciful.”

84. So We answered him, lifted his suffering, and restored his family to him, and their like with them—a mercy from Us, and a reminder for the worshipers. (The Quran, verses 21:83-84)

Instead of asking for anything, he simply states his condition and tells God He is merciful. God treats his complaint as if it is a prayer and answers it by taking away his difficulty.

What is sabr actually? Is it to learn to be stoic?

Sabr means “patience”, its literal meaning is “to withhold”. To have sabr means to be able to withhold yourself from doing anything that displeases God. In times of hardship, sabr means not to complain, not to think negative thoughts about God, and not to give up worshiping Him and seek refuge in other things.

In times of ease, sabr means to withhold yourself from using God’s blessings to disobey Him. It also means to continue worshiping Him as ardently as during times of hardship, instead letting times of ease make you complacent and lazy toward worship.

To have sabr means to be steadfast. Regardless of what life throws at you, if you have sabr, you continue to obey and worship God, withholding yourself from doing things that displease Him.