documentclass[margin]{res}
usepackage[utf8]{inputenc}
usepackage[T1]{fontenc}
usepackage{wasysym}
usepackage{bbding}
usepackage{hyperref}

begin{document}
          Envelope  href{mailto:my@mail.com}{my@mail.com} \
          phone  123 456 789
end{document}

documentclass[margin]{res}
usepackage[utf8]{inputenc}
usepackage[T1]{fontenc}
usepackage{wasysym}
usepackage{bbding}
usepackage{hyperref}

begin{document}
          Envelope  raisebox{.25em}{href{mailto:my@mail.com}{my@mail.com}} \
          phone  123 456 789
end{document}