The phrase "so grateful" is correct and usable in written English.
It is typically used to express deep thanks or appreciation for someone or something. Example: "I am so grateful for your help with my project. Without your guidance, I would have been lost."
Exact(60)
"She's so grateful.
We're so grateful".
I'm just so grateful".
I am so grateful.
I'm so grateful.
I'm so grateful for it".
"I'm so grateful to Ferguson.
Democrats were not so grateful.
She's so grateful to him".
"He was so grateful.
I will be so grateful," he says.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com