In both cases, serializator or json, you will need to convert the array to something else and then back to an array.
Might be better to switch to a different collection. Arrays are quite limited.
B4X:
Dim Rows As List
Rows.Initialize
For r = 0 to 9
Dim cols As List
cols.Initialize
Rows.Add(cols)
For c = 0 to 9
cols.Add(Lista(r, c))
Next
Next