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), 
:
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.