'overwhelming praise' is correct and can be used in written English.
You can use it when you want to emphasize the strong level of enthusiasm or approval for something or someone. For example, "He received overwhelming praise for his performance in the play."
Trump's hollow post-mortem gesture of affection notwithstanding, Ali was hardly greeted by overwhelming praise.
For America's 39th president, who served a truncated term, there was overwhelming praise.
Nonetheless, Mr. McKayle has nothing but overwhelming praise for the result, and this view has been echoed by audience members.
Young received overwhelming praise for his comments from peak medical bodies, prominent mental health experts and human rights groups.
Last week, David Cameron and Nicolas Sarkozy agreed a £500m deal to bring new nuclear development to the UK, to overwhelming praise from Conservatives and other politicians.
Whatever officials at the Reserve Management Company thought of Paulson, when he returned to Washington he was greeted with overwhelming praise for having let Lehman fail.
Their overwhelming early praise is a reflection of that fact.
Besides drawing an audience of more than 2 million households for each of its four programs in its initial broadcast on PBS, the series received overwhelming critical praise from the nation's leading newspapers, including The New York Times.
A Girl Walks Home Alone at Night opened to overwhelming critical praise.
During that process, during that confirmation process, he earned overwhelming bipartisan praise from senators and legal experts alike.
But the overwhelming majority praised the hotel's cool aesthetic and friendly staff.
