From my experience, in mine, pressing the accelerator all the way to the floor mimics a little launch control, in that, it builds up revs before throwing itself in to gear.
If I want to drive off immediately, I apply enough accelerator, but stop short of flooring it. It took a little while to get the feel for it.
2011 E92 M3
| Melbourne Red | Black Novillo w/Carbon Leather Trim | M-DCT | Competition Package | Premium Package 2 | Convenience Package | Enhanced Premium Sound | Heated Front Seats
2004 E46 M3
| Silver Grey | - Retired