The England international completed a move to the Reds from Arsenal in the summer transfer window.
Oxlade-Chamberlain opted to move to Liverpool FC ahead of interest from defending Premier League champions Chelsea FC.
The 24-year-old was often criticised for his subdued performances in the Arsenal team after failing to realise his talent at The Emirates.
Wright was quick to defend Oxlade-Chamberlain and urged Arsene Wenger to give the versatile midfielder a regular run in the team.
The English midfielder has improved under current Liverpool FC boss Jurgen Klopp in the 2017-18 Premier League season.
Former Arsenal striker Wright revealed what he said to Oxlade-Chamberlain following his move to Liverpool FC from Arsenal.
Asked whether Oxlade-Chamberlain has improved at Anfield, Wright told BBC Radio 5 live:
“Absolutely [Ox has improved at Liverpool]. When he left I said good luck to him.”
Oxlade-Chamberlain has scored three goals and has made four assists in 15 appearances in the Premier League this term.
Liverpool FC have one foot in the Champions League quarter-finals following a 5-0 win at FC Porto in the first leg of their last-16 clash.
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