The Premier League outfit got the better of the Andorran team 3-0 at home in the first leg of the Europa League first qualifying round.
Senegal international striker Diafra Sakho put the Hammers in the lead in the 40th minute and doubled the advantage on the stroke of half time.
James Tomkins wrapped up the scoring just before the hour mark, as West Ham registered a comfortable 3-0 win at the Boleyn Ground.
Poyet started the encounter and played for the entire 90 minutes, and he was delighted with his side’s victory.
Very short summer holidays for me this year, happy to have met up with the boys and looking forward to the start of pre season— Diego Poyet (@diegopoyet7) June 23, 2015
Thanks to everyone for the messages and for the support yesterday. Sell out Upton Park for a qualifying match in July says a lot— Diego Poyet (@diegopoyet7) July 3, 2015
Poyet gave a good account of himself against Lusitanos, and he will now be looking to kick on and establish himself as an important player for the West Ham first team.
The Uruguayan joined the Hammers from London rivals Charlton Athletic in the summer of 2014.
The 20-year-old played on loan for Championship outfit Huddersfield Town for a short spell during the 2014-15 campaign.
The Uruguay Under-20 international could make just three Premier League appearances for West Ham, creating one chance and having a pass accuracy of 91% in the process.