The phrase "firm confidence" is correct and can be used in written English.
It means to have a strong belief or trust in something. Example: The CEO's firm confidence in his team's capabilities has led to the company's success.
The Foreign Ministry said President Gurbanguly Berdymukhamedov "expressed support for the Turkish people and government and also firm confidence in stabilising the situation in Turkey".
Naval Material Research Laboratory (NMRL), based on the firm confidence of her core competence on material development, started an ambitious program on development of fuel cells for various Defense and non-Defense application in early nineties.
He told a press conference: "My firm confidence in the selection, in the training, in the training of our pilots, in the qualification of our pilots, in the work of our pilots, has not been touched by this tragedy".
But in their easygoing complacency — a firm confidence in their inherited right to all the good things in life and their fundamental lack of interest in the ultimate costs of their comfort, long borne by others — they look awfully familiar.
Employment continues to rise robustly, housing activity is very firm, confidence is on the rise, credit growth is improving and the UK's key export market – the Eurozone – is showing some encouraging signs.
Mr. Kerry expressed firm confidence that the United States would soon fully restore $650 million — the first tranche of the $1.3 billion in annual aid — to the military that the Obama administration had partly withheld after the takeover.
Small-firm confidence continues to plunge.
Boosting firms' confidence by raising awareness of the various funding schemes available is critical".
All in all, there was little sign of the sector shaking off its torpor, as highlighted by firms' confidence remaining at a historically low level".
Government reforms can help a bit, said Jennifer McKeown, an economist at Capital Economics, but "it's more about boosting firms' confidence and easing access to credit and maybe further easing of austerity".
Global economic uncertainty is affecting firms' confidence to invest and ability to grow, but falling oil prices may start to ease cost pressures for companies and help support consumer spending in the months ahead".
