I'll put you through to the person in charge. One moment please.
Could you please hold the line for a minute? I'll connect you with someone who can help you.
この場合、次のような言い方ができますよ。
ーI'll put you through to the person in charge. One moment please.
「担当者に繋ぎますので、少々お待ちください」
to put you through to the person in charge で「担当者に繋ぐ」
ーCould you please hold the line for a minute? I'll connect you with someone who can help you.
「少々お待ちいただけますか？担当者に繋げます」
to connect you with someone who can help you「あなたを助けることができる人に繋げる」＝「担当者に繋げる」とも言えます。
ご参考まで！
カナダ 
