Speaking to the media, Williamson said: "I'm a footballer, our job is to win games and that hasn't happened so smoothly.
"Results tell a story, performance is another thing that you can actually change and affect on a day-to-day basis and to be honest, I'm happy to be here in a different environment. I think sometimes that comes at the right time and since I've been here, I've had no contact with club.
"To be here in this environment is refreshing, obviously; it is natural for that to be the case at this time and playing for this team, everyone knows how much we love it. I think you see that every day.
"It's been a different start to the season. Obviously, we've been at club for a long time. Normally, we'd have an international break window before this so it's been different in that sense of being there [with Arsenal] for so long and being in one place, we're not used to that."