Use the ACCOUNT function with several indifferent criteria.
=SUM(COUNTIF(A:A, {"*0*","*1*","*2*","*3*","*4*","*5*","*6*","*7*","*8*","*9*"}))
As pointed out by Scott Craner , you can reduce input with
=SUM(COUNTIF(A:A, "*"&{0,1,2,3,4,5,6,7,8,9}&"*"))
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