"implicitly suggesting" is correct and usable in written English.
You can use it when you want to suggest something without directly stating it. For example, "He seemed to be implicitly suggesting that I should take the day off."
Williams wrote to Laughlin, implicitly suggesting that he settle money on Maria for "disappointment as a result of being discarded like this, in such a public fashion".
Tibet's government forecasts that the same rate of growth will continue, implicitly suggesting that it does not expect the railway to make a big difference.
Corey Robin (The Way We Live Now, Dec. 16) writes that "Post-Stonewall or post-Ellen, perhaps it is possible to speculate publicly about someone being gay without implicitly suggesting he is evil".
But unlike her predecessor, Ms Harman eschewed jokes in favour of a focus on issues affecting family life, implicitly suggesting that they had become mainstream issues appealing to middle England.
In a world where 1.2 billion people exist on less than $1 a day each, those leaders were implicitly suggesting that countering terrorism, especially by arms, could not be Christians' single, all-consuming priority.
The French interior minister, Manuel Valls, has gone beyond "implicitly suggesting they should leave"; he has quite explicitly stated that Roma should either leave voluntarily or be forcibly removed.
These products do implicitly suggest that breastfeeding should be hidden.
Doesn't it implicitly suggest that terrorists have better imaginations than politicians?
In saying "French Women Don't Get Face Lifts" Guiliano implicitly suggests that the rest of us do.
This is a bad thing, he implicitly suggests, saying that "advocates of limited government" — of whom he's one — "are rightly worried about the fiscal stimulus package".
Various state attorneys general took a dim view of the mailings that implicitly suggested that subscribing to magazines might increase the chances of winning millions of dollars.
