I remember something about this being brought up in another thread. Toyota, as well as other manufacturers have what is called DFCO or Deceleration Fuel Cut-Off. What this means is that when you take your foot off the gas, the fuel injectors will actually shut off totally.
Let's stick strictly with the general thread of an automatic transmission, for these operate slightly different from a manual.
For starters, unless you are in any other selected gear except D4-5, there will be no engine braking, thus you will not be able to "drive" the engine from coasting. Also, if the engine is not running at all, then you would not be able to have any engine braking either, as there would be no fluid coupling in the torque converter, nor would there be any fluid pressure from the pump, since the pump is driven by the engine.
Here is how the DFCO operates, and it is a VERY short lived operation: When you remove your foot from the accelerator pedal, the ECU will cut off fuel to all of the injectors. when engine RPM has reduced down to an idle speed (i.e. 800 RMP or so) then the ECU will begin firing the injectors to prevent the engine from stalling. While this does not seem like a very long time (Which it isn't) doing this over a long drive does improve fuel economy by a small amount over NOT using DFCO. The DFCO has been around for YEARS. Toyota, as well as GM and others have been using this program since before 2000. My 1997 Tacoma has it, but mine is a manual transmission, and does things slightly different.
There are certain requirements for the DFCO to operate. For one, your engine has to be at normal operating temperature, so it will not engage first thing in the morning or evening after work. On a manual transmission, SOME vehicles will not engage the DFCO unless your engine was above 1800 RPM when you removed your foot from the pedal. This prevents the engine from stalling out, as the engine drops rapidly in RPM in a manual trans.
On all vehicles if you return your foot to the gas pedal at any point, the ECU turns the injectors back on, and in an automatic transmission, if you shift the shifter into neutral, it will not engage.