Lacazette is contracted at the Premier League club until 2022 after joining from Lyon 2017, but there has been speculation over the forward's future.
As is customary, Mikel Arteta would hold a press conference following Saturday's win.
"He is a player I am really happy with".
The 31-year-old Aubameyang signed a new three-year deal with the London club this week, a month after Arteta said he wanted to build his squad around the club captain following their FA Cup triumph and Europa League qualification.
The manager admitted that when he joined the club last December he was not as positive as he had been in the past few weeks that Arsenal would keep hold of their star forward.'Financially we were in a position that it was hard to get what we wanted to get, he said. I think Auba had his doubts as well at the time but things evolved in a natural way.
But there have been no talks for the 29-year-old to renew his deal at Arsenal, Arteta later confirmed.
"At the moment we haven't started any negotiations. His goalscoring tallies haven't been what he would have wanted them to be, but a couple of goals in his first two games will do him the world of good".
West Ham, meanwhile, were looking to bounce back from their opening day defeat vs Newcastle.
Iceland global Runar Alex Runarsson is believed to be close to joining. I think we've shown him a lot of faith since I arrived here.
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