In this paper, we investigate the performance of a multiple-input single output (MISO) wireless system employing short-packet communication (SPC) under impact of co-channel interference (CCI). Particularly, a source (S) node utilizes transmit antenna selection (TAS) technique to maximize the received signal-to-noise ratio (SNR) at the receiver. Contrary to the widely adopted assumption of long packets, SPC requires the design of new communication protocols and performance metrics. To analyze the performance of MISO TAS system using SPC, we derived a closed-form expression for the average block error rate (BLER) over Rayleigh fading channels. Subsequently, Monte Carlo simulations are conducted to verify the theoretical analysis results. Based on the obtained results, the advantages of MISO TAS using SPC improving reliability and reducing transmission delay are demonstrated. Furthermore, the effects of co-channel interference, the blocklength, the number of information bits, transmit power level, configuration of the number of transmit antennas at the source node and impact of channel characteristics of both data and interference links on the system performance are also analyzed.