Threshold voltage commonly confuses people - it is to be ignored completely, ditto max current.
The only important specs are the max Vds, the max Vgs (some logic-level devices are only +/-8V or so),
the on-resistance as mentioned, and the input capacitance (or total gate charge which is another way
of saying the same thing).
If you need to switch 10A, picking a 10A MOSFET will likely be a disaster. Choose MOSFETs by the power
dissipation using the Rds(on) and the formula power = I-squared-R
For instance a device with 4 milliohm on resistance will dissipate 400mW at 10A (and drop 40mV).
This is a good choice, little heatsinking will be needed, and it will tolerate brief overloads well.
Picking a ~10A device will require a large heatsink and lose maybe upto 1V across the device too.
For nearly every device I've seen the max current is just the theoretical max power rating in disguise, ie it only
applies for infinite heatsink (liquid cooling!) and the junction temperature at maximum (150C or so). This
is bad news for your bill of materials and long-term reliability.
Typically you'll find a realistic choice of MOSFET for 10A will have a nominal current rating of 50A or more.
Unless you intend to have a bulky cooling system, which should only be necessary for quite large currents
(20A or more tends to push you into that territory).