Fisher information (I) is investigated for confined hydrogen atom (CHA)-like systems in conjugate r and p spaces. A comparative study between CHA and free H atom (with respect to I) is pursued. A detailed systematic result of I with respect to variation of confinement radius r(c) is presented, with particular emphasis on non-zero-(l, m) mthorn states. In certain respect, inferences in CHA are significantly different from free counterpart, such as (i) dependence on n, l quantum numbers (ii) appearance of maxima in I-p plots for vertical bar m vertical bar not equal 0. The role of atomic number and atomic radius is discussed. (C) 2017 Elsevier B.V. All rights reserved.