The phrase "acknowledging the arrival" is correct and usable in written English.
You can use it when referring to the act of recognizing or accepting someone's or something's arrival.
Example: "The event began with a speech acknowledging the arrival of the distinguished guests."
Alternatives: "recognizing the arrival" or "welcoming the arrival".
"We just want to compare some guys, see where they are," said Coach Jim Fassel, acknowledging the arrival of two kickers but not identifying them.
"Travis Porter is right here at the end of Park Place!" the house D.J. screamed one Sunday night earlier this year, acknowledging the arrival of a young Atlanta rap trio — Ali, Strap and Quez — that has given Follies and many places like it a theme song.
Hopefully, the Gestapo men watching him thought of this as an innocuous gesture, a soccer team coach acknowledging the arrival of his players and performing a headcount.
Sir Nicholas paused to acknowledge the arrival of the co-architect of the Pre-Budget Report, and carried on with his presentation, noting how David Cameron and George Osborne had learned from the tensions of the relationship between Brown and Tony Blair.
A stadium-sized roar to acknowledge the arrival of the Games' oldest competitor – a ramrod-straight and dapper man of 71 – would have frightened the mare and probably embarrassed her rider.
But they acknowledge that the arrival of the new prisoners set off an urgent interrogation effort.
Yet the player who cost £49m from Liverpool acknowledged that the arrival of Guardiola, the former Barcelona and Bayern Munich manager, in the summer has helped to transform his approach.
On arrival at my hotel, I decide to put the staff at ease by just acknowledging the elephant in the room.
Some mail programs require the recipient to click a button to acknowledge the message's arrival — which the recipient might ignore.
Sir Tatton Sykes, who was reportedly horrified by the price, initially refused to acknowledge the mare's arrival, and left her in a railway box for two weeks before he was persuaded to accept the deal.
Respect toward a company's management is also shown through gestures such as standing up when superiors enter the room, or through acknowledging their arrival, at the least.
