Often used with 私 or other humble offerings:
The expression でよければ is used to humbly offer or suggest something, meaning "if … is alright with you" or "if you don't mind …". It combines the particle で (marking means, identity, or condition) with よければ, the conditional ば-form of いい (good). The literal sense is "if it's good/okay with [something]."
This pattern is used when the speaker modestly presents themselves, an item, or a suggestion – implying that what they are offering may not be the best option, but they are willing if the listener finds it acceptable.
A very common use is わたくし私でよければ – "if I'm okay (for the task) / if you don't mind me":
You can place any noun before でよければ to humbly suggest or offer it:
It can also be used to propose a time, place, or method:
In more formal situations, よろしければ is used instead of でよければ as a standalone phrase meaning "if it's alright with you." よろしければ does not require a noun + で before it since よろしい is itself a more polite word for "good/acceptable."