"received good grades" is correct and usable in written English.
You can use it when describing someone's academic performance in a particular semester or school year. For example, "John received good grades in all of his classes this semester."
The athletes reportedly received good grades for doing minimal work in the independent studies, helping them stay eligible to play.
She received good grades and even completed a master's degree in health administration, but it was always a struggle.
But his mother forced him to sit for the exam, and to his surprise he not only passed but received good grades.
Growing up in the town of Taree, about a four-hour drive north of Sydney, Kristy Everett assumed she would go to university because she always received good grades in school.
The teacher filed a lawsuit against New York University in December 2011 in protest at his dismissal, claiming that Franco received good grades from his former colleagues despite similar levels of absence from their lectures.
He said that one night at the Village Vanguard he saw Hill "break down a standard in the most beautiful, Marcel Duchamp way — with a new language, like 'Nude Descending a Staircase.' " Moran said that he worked hard in college and received good grades but, in his third year, he had a crisis of confidence.
The company's pay practices, he says, receive good grades from institutional proxy advisory services.
Some of the students quoted, for example, seemed to think that they should receive good grades based on their effort.
Statistics show that the number of homeworkers is increasing as the level of competition for receiving good grades continues to heighten.
Competence Feels like they understand major-related material or receives good grades in major-related courses.
In other subjects, the number of pupils receiving good grades in maths, French, German and Spanish have all fallen.
