The turnaround time depends on the credit or debit card and it's industry standard. It also depends on your bank and if paid on the weekends.
In our experience, it may be few minutes or hours to 2-3 days. The exception is American Express, which may take a little longer, up to 5 days. For US merchant accounts, payments generated with a Visa, MasterCard or Discover will typically be deposited into the designated bank account within 2-3 business days of settlement. American Express up to 5 days. If paid on the weekend (Friday 3:00 pm to Sunday MN), it may take 2-3 extra days.