"We want all the teams to find solutions and stay in F1 - we don't want to lose anyone," he said.
"Ferrari have a fantastic historical presence in F1 and I hope it continues for a lot longer."
The FIA gave the teams a deadline of 29 May to sign up for the 2010 season - several months earlier than is usual.
FIA president Max Mosley had been due to attend this weekend's Spanish Grand Prix, but that visit has now been postponed following the death of his son Alexander on Wednesday.
Among other new rules introduced for 2010, the FIA has also introduced a ban on refuelling during races to save transport costs, as well as increased the maximum number of cars in the championship from 24 to 26 from next season.
At the moment there are 20 cars, two for each of the 10 teams, but Mosley hopes the budget cap could attract new entrants and F1 commercial rights holder Bernie Ecclestone has stated he envisages up to three new teams in 2010.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.