Hang on.
So you have a load of "business logic" code in your database packages etc. And the application owner want to rip all that out and move it to the application level?
Why exactly?
That's a lot of effort for questionable benefits at best.
As we've discussed in the past, making full use of PL/SQL is the way to go:
https://asktom.oracle.com/pls/apex/f?p=100:11:::NO:RP:P11_QUESTION_ID:9535371900346546659 https://asktom.oracle.com/pls/apex/f?p=100:11:0::::P11_QUESTION_ID:9526787800346856323 Anyway, back to your question.
I'm not aware of any tool which will help with this migration. I'm not sure something like this is even possible.
If none of the PL/SQL called by your app has any dependencies (i.e. every call from your Forms only access PL/SQL procedures/functions which themselves don't call other PL/SQL packages etc.) then you could paste all the PL/SQL directly into the database calls of your new application as anonymous blocks.
But this is unlikely.
It's much more likely you have a mass of dependencies (Form A calls package B, which calls packages B, C and D and so on). Converting this to another language will be a massive effort for any non-trivial application.
Keep your code in the database. Choose your new front end technology and reuse your existing investment.
If you're looking for a way to convert the Forms themselves, check out Application Express (APEX).
We have a documented process to migrate from Forms -> APEX at:
https://docs.oracle.com/database/apex-5.1/AEMIG/how-to-convert-application.htm#AEMIG166